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Finding the Fourth Proportional to 391,148.78, 587,002.90 and 166,666.46

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Solution

The fourth proportional to 391,148.78, 587,002.90 and 166,666.46 is: 250,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,148.78 : 587,002.90 = 166,666.46 : x
  2. Step 2: Convert to fraction form
    391,148.78/587,002.90 = 166,666.46/x
  3. Step 3: Cross multiply
    391,148.78x = 587,002.90 × 166,666.46
  4. Step 4: Simplify right side
    391,148.78x = 97,833,695,352.73
  5. Step 5: Solve for x
    x = 97,833,695,352.73/391,148.78
  6. Step 6: Final answer
    x = 250,118.88

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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.