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Finding the Fourth Proportional to 391,635.42, 539,799.03 and 299,723.10

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Solution

The fourth proportional to 391,635.42, 539,799.03 and 299,723.10 is: 413,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,635.42 : 539,799.03 = 299,723.10 : x
  2. Step 2: Convert to fraction form
    391,635.42/539,799.03 = 299,723.10/x
  3. Step 3: Cross multiply
    391,635.42x = 539,799.03 × 299,723.10
  4. Step 4: Simplify right side
    391,635.42x = 161,790,238,648.59
  5. Step 5: Solve for x
    x = 161,790,238,648.59/391,635.42
  6. Step 6: Final answer
    x = 413,114.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.