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Finding the Fourth Proportional to 391,382.94, 586,921.23 and 138,565.74

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Solution

The fourth proportional to 391,382.94, 586,921.23 and 138,565.74 is: 207,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,382.94 : 586,921.23 = 138,565.74 : x
  2. Step 2: Convert to fraction form
    391,382.94/586,921.23 = 138,565.74/x
  3. Step 3: Cross multiply
    391,382.94x = 586,921.23 × 138,565.74
  4. Step 4: Simplify right side
    391,382.94x = 81,327,174,556.66
  5. Step 5: Solve for x
    x = 81,327,174,556.66/391,382.94
  6. Step 6: Final answer
    x = 207,794.38

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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.