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Finding the Fourth Proportional to 288,702.98, 432,978.60 and 86,251.04

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Solution

The fourth proportional to 288,702.98, 432,978.60 and 86,251.04 is: 129,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,702.98 : 432,978.60 = 86,251.04 : x
  2. Step 2: Convert to fraction form
    288,702.98/432,978.60 = 86,251.04/x
  3. Step 3: Cross multiply
    288,702.98x = 432,978.60 × 86,251.04
  4. Step 4: Simplify right side
    288,702.98x = 37,344,854,547.74
  5. Step 5: Solve for x
    x = 37,344,854,547.74/288,702.98
  6. Step 6: Final answer
    x = 129,353.89

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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.