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Finding the Fourth Proportional to 391,872.33, 588,070.80 and 142,554.33

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Solution

The fourth proportional to 391,872.33, 588,070.80 and 142,554.33 is: 213,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,872.33 : 588,070.80 = 142,554.33 : x
  2. Step 2: Convert to fraction form
    391,872.33/588,070.80 = 142,554.33/x
  3. Step 3: Cross multiply
    391,872.33x = 588,070.80 × 142,554.33
  4. Step 4: Simplify right side
    391,872.33x = 83,832,038,886.56
  5. Step 5: Solve for x
    x = 83,832,038,886.56/391,872.33
  6. Step 6: Final answer
    x = 213,926.92

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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.