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Finding the Fourth Proportional to 288,398.88, 432,648.14 and 128,531.61

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Solution

The fourth proportional to 288,398.88, 432,648.14 and 128,531.61 is: 192,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,398.88 : 432,648.14 = 128,531.61 : x
  2. Step 2: Convert to fraction form
    288,398.88/432,648.14 = 128,531.61/x
  3. Step 3: Cross multiply
    288,398.88x = 432,648.14 × 128,531.61
  4. Step 4: Simplify right side
    288,398.88x = 55,608,961,355.05
  5. Step 5: Solve for x
    x = 55,608,961,355.05/288,398.88
  6. Step 6: Final answer
    x = 192,819.62

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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.