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Finding the Fourth Proportional to 514,423.57, 709,948.13 and 285,052.79

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Solution

The fourth proportional to 514,423.57, 709,948.13 and 285,052.79 is: 393,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,423.57 : 709,948.13 = 285,052.79 : x
  2. Step 2: Convert to fraction form
    514,423.57/709,948.13 = 285,052.79/x
  3. Step 3: Cross multiply
    514,423.57x = 709,948.13 × 285,052.79
  4. Step 4: Simplify right side
    514,423.57x = 202,372,697,699.29
  5. Step 5: Solve for x
    x = 202,372,697,699.29/514,423.57
  6. Step 6: Final answer
    x = 393,397.02

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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.