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Finding the Fourth Proportional to 391,897.80, 588,108.51 and 142,579.80

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Solution

The fourth proportional to 391,897.80, 588,108.51 and 142,579.80 is: 213,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,897.80 : 588,108.51 = 142,579.80 : x
  2. Step 2: Convert to fraction form
    391,897.80/588,108.51 = 142,579.80/x
  3. Step 3: Cross multiply
    391,897.80x = 588,108.51 × 142,579.80
  4. Step 4: Simplify right side
    391,897.80x = 83,852,393,734.10
  5. Step 5: Solve for x
    x = 83,852,393,734.10/391,897.80
  6. Step 6: Final answer
    x = 213,964.95

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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.