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Finding the Fourth Proportional to 288,721.92, 433,078.14 and 86,318.52

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Solution

The fourth proportional to 288,721.92, 433,078.14 and 86,318.52 is: 129,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,721.92 : 433,078.14 = 86,318.52 : x
  2. Step 2: Convert to fraction form
    288,721.92/433,078.14 = 86,318.52/x
  3. Step 3: Cross multiply
    288,721.92x = 433,078.14 × 86,318.52
  4. Step 4: Simplify right side
    288,721.92x = 37,382,664,089.15
  5. Step 5: Solve for x
    x = 37,382,664,089.15/288,721.92
  6. Step 6: Final answer
    x = 129,476.36

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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.