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Finding the Fourth Proportional to 391,044.60, 586,421.10 and 154,338.30

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Solution

The fourth proportional to 391,044.60, 586,421.10 and 154,338.30 is: 231,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,044.60 : 586,421.10 = 154,338.30 : x
  2. Step 2: Convert to fraction form
    391,044.60/586,421.10 = 154,338.30/x
  3. Step 3: Cross multiply
    391,044.60x = 586,421.10 × 154,338.30
  4. Step 4: Simplify right side
    391,044.60x = 90,507,235,658.13
  5. Step 5: Solve for x
    x = 90,507,235,658.13/391,044.60
  6. Step 6: Final answer
    x = 231,449.91

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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.