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Finding the Fourth Proportional to 391,418.70, 587,358.45 and 142,068.30

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Solution

The fourth proportional to 391,418.70, 587,358.45 and 142,068.30 is: 213,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,418.70 : 587,358.45 = 142,068.30 : x
  2. Step 2: Convert to fraction form
    391,418.70/587,358.45 = 142,068.30/x
  3. Step 3: Cross multiply
    391,418.70x = 587,358.45 × 142,068.30
  4. Step 4: Simplify right side
    391,418.70x = 83,445,016,482.14
  5. Step 5: Solve for x
    x = 83,445,016,482.14/391,418.70
  6. Step 6: Final answer
    x = 213,186.08

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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.