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Finding the Fourth Proportional to 387,809.52, 581,724 and 107,329.20

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Solution

The fourth proportional to 387,809.52, 581,724 and 107,329.20 is: 160,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,809.52 : 581,724 = 107,329.20 : x
  2. Step 2: Convert to fraction form
    387,809.52/581,724 = 107,329.20/x
  3. Step 3: Cross multiply
    387,809.52x = 581,724 × 107,329.20
  4. Step 4: Simplify right side
    387,809.52x = 62,435,971,540.80
  5. Step 5: Solve for x
    x = 62,435,971,540.80/387,809.52
  6. Step 6: Final answer
    x = 160,996.49

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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.