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Finding the Fourth Proportional to 342,000.30, 513,000.45 and 142,254.30

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Solution

The fourth proportional to 342,000.30, 513,000.45 and 142,254.30 is: 213,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000.30 : 513,000.45 = 142,254.30 : x
  2. Step 2: Convert to fraction form
    342,000.30/513,000.45 = 142,254.30/x
  3. Step 3: Cross multiply
    342,000.30x = 513,000.45 × 142,254.30
  4. Step 4: Simplify right side
    342,000.30x = 72,976,519,914.44
  5. Step 5: Solve for x
    x = 72,976,519,914.44/342,000.30
  6. Step 6: Final answer
    x = 213,381.45

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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.