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Finding the Fourth Proportional to 502,143.87, 752,938.53 and 261,657.36

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Solution

The fourth proportional to 502,143.87, 752,938.53 and 261,657.36 is: 392,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,143.87 : 752,938.53 = 261,657.36 : x
  2. Step 2: Convert to fraction form
    502,143.87/752,938.53 = 261,657.36/x
  3. Step 3: Cross multiply
    502,143.87x = 752,938.53 × 261,657.36
  4. Step 4: Simplify right side
    502,143.87x = 197,011,908,002.08
  5. Step 5: Solve for x
    x = 197,011,908,002.08/502,143.87
  6. Step 6: Final answer
    x = 392,341.56

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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.