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Finding the Fourth Proportional to 391,086.12, 586,908.96 and 166,603.80

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Solution

The fourth proportional to 391,086.12, 586,908.96 and 166,603.80 is: 250,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,086.12 : 586,908.96 = 166,603.80 : x
  2. Step 2: Convert to fraction form
    391,086.12/586,908.96 = 166,603.80/x
  3. Step 3: Cross multiply
    391,086.12x = 586,908.96 × 166,603.80
  4. Step 4: Simplify right side
    391,086.12x = 97,781,262,990.05
  5. Step 5: Solve for x
    x = 97,781,262,990.05/391,086.12
  6. Step 6: Final answer
    x = 250,024.89

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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.