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Finding the Fourth Proportional to 391,142.55, 586,713.78 and 251,786.91

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Solution

The fourth proportional to 391,142.55, 586,713.78 and 251,786.91 is: 377,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,142.55 : 586,713.78 = 251,786.91 : x
  2. Step 2: Convert to fraction form
    391,142.55/586,713.78 = 251,786.91/x
  3. Step 3: Cross multiply
    391,142.55x = 586,713.78 × 251,786.91
  4. Step 4: Simplify right side
    391,142.55x = 147,726,849,720.62
  5. Step 5: Solve for x
    x = 147,726,849,720.62/391,142.55
  6. Step 6: Final answer
    x = 377,680.34

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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.