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Finding the Fourth Proportional to 524,751.36, 724,343.85 and 309,892.29

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Solution

The fourth proportional to 524,751.36, 724,343.85 and 309,892.29 is: 427,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,751.36 : 724,343.85 = 309,892.29 : x
  2. Step 2: Convert to fraction form
    524,751.36/724,343.85 = 309,892.29/x
  3. Step 3: Cross multiply
    524,751.36x = 724,343.85 × 309,892.29
  4. Step 4: Simplify right side
    524,751.36x = 224,468,574,423.92
  5. Step 5: Solve for x
    x = 224,468,574,423.92/524,751.36
  6. Step 6: Final answer
    x = 427,761.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.