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Finding the Fourth Proportional to 387,829.52, 581,757 and 107,323.28

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Solution

The fourth proportional to 387,829.52, 581,757 and 107,323.28 is: 160,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,829.52 : 581,757 = 107,323.28 : x
  2. Step 2: Convert to fraction form
    387,829.52/581,757 = 107,323.28/x
  3. Step 3: Cross multiply
    387,829.52x = 581,757 × 107,323.28
  4. Step 4: Simplify right side
    387,829.52x = 62,436,069,402.96
  5. Step 5: Solve for x
    x = 62,436,069,402.96/387,829.52
  6. Step 6: Final answer
    x = 160,988.44

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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.