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Finding the Fourth Proportional to 810,000.20, 1,215,000.30 and 542,311.40

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Solution

The fourth proportional to 810,000.20, 1,215,000.30 and 542,311.40 is: 813,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,000.20 : 1,215,000.30 = 542,311.40 : x
  2. Step 2: Convert to fraction form
    810,000.20/1,215,000.30 = 542,311.40/x
  3. Step 3: Cross multiply
    810,000.20x = 1,215,000.30 × 542,311.40
  4. Step 4: Simplify right side
    810,000.20x = 658,908,513,693.42
  5. Step 5: Solve for x
    x = 658,908,513,693.42/810,000.20
  6. Step 6: Final answer
    x = 813,467.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.