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Finding the Fourth Proportional to 229,432.50, 316,625.78 and 156,987.28

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Solution

The fourth proportional to 229,432.50, 316,625.78 and 156,987.28 is: 216,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,432.50 : 316,625.78 = 156,987.28 : x
  2. Step 2: Convert to fraction form
    229,432.50/316,625.78 = 156,987.28/x
  3. Step 3: Cross multiply
    229,432.50x = 316,625.78 × 156,987.28
  4. Step 4: Simplify right side
    229,432.50x = 49,706,218,398.61
  5. Step 5: Solve for x
    x = 49,706,218,398.61/229,432.50
  6. Step 6: Final answer
    x = 216,648.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.