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Finding the Fourth Proportional to 391,876.14, 588,075.84 and 142,558.14

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Solution

The fourth proportional to 391,876.14, 588,075.84 and 142,558.14 is: 213,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,876.14 : 588,075.84 = 142,558.14 : x
  2. Step 2: Convert to fraction form
    391,876.14/588,075.84 = 142,558.14/x
  3. Step 3: Cross multiply
    391,876.14x = 588,075.84 × 142,558.14
  4. Step 4: Simplify right side
    391,876.14x = 83,834,997,929.34
  5. Step 5: Solve for x
    x = 83,834,997,929.34/391,876.14
  6. Step 6: Final answer
    x = 213,932.39

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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.