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Finding the Fourth Proportional to 387,710.50, 581,565.75 and 107,227.75

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Solution

The fourth proportional to 387,710.50, 581,565.75 and 107,227.75 is: 160,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,710.50 : 581,565.75 = 107,227.75 : x
  2. Step 2: Convert to fraction form
    387,710.50/581,565.75 = 107,227.75/x
  3. Step 3: Cross multiply
    387,710.50x = 581,565.75 × 107,227.75
  4. Step 4: Simplify right side
    387,710.50x = 62,359,986,849.56
  5. Step 5: Solve for x
    x = 62,359,986,849.56/387,710.50
  6. Step 6: Final answer
    x = 160,841.63

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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.