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Finding the Fourth Proportional to 506,301.60, 759,646.80 and 498,331.20

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Solution

The fourth proportional to 506,301.60, 759,646.80 and 498,331.20 is: 747,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,301.60 : 759,646.80 = 498,331.20 : x
  2. Step 2: Convert to fraction form
    506,301.60/759,646.80 = 498,331.20/x
  3. Step 3: Cross multiply
    506,301.60x = 759,646.80 × 498,331.20
  4. Step 4: Simplify right side
    506,301.60x = 378,555,701,420.16
  5. Step 5: Solve for x
    x = 378,555,701,420.16/506,301.60
  6. Step 6: Final answer
    x = 747,688.14

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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.