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Finding the Fourth Proportional to 456,000.20, 684,000.30 and 403,512.20

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Solution

The fourth proportional to 456,000.20, 684,000.30 and 403,512.20 is: 605,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,000.20 : 684,000.30 = 403,512.20 : x
  2. Step 2: Convert to fraction form
    456,000.20/684,000.30 = 403,512.20/x
  3. Step 3: Cross multiply
    456,000.20x = 684,000.30 × 403,512.20
  4. Step 4: Simplify right side
    456,000.20x = 276,002,465,853.66
  5. Step 5: Solve for x
    x = 276,002,465,853.66/456,000.20
  6. Step 6: Final answer
    x = 605,268.30

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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.