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Finding the Fourth Proportional to 391,040.30, 586,141.14 and 256,053.08

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Solution

The fourth proportional to 391,040.30, 586,141.14 and 256,053.08 is: 383,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,040.30 : 586,141.14 = 256,053.08 : x
  2. Step 2: Convert to fraction form
    391,040.30/586,141.14 = 256,053.08/x
  3. Step 3: Cross multiply
    391,040.30x = 586,141.14 × 256,053.08
  4. Step 4: Simplify right side
    391,040.30x = 150,083,244,211.71
  5. Step 5: Solve for x
    x = 150,083,244,211.71/391,040.30
  6. Step 6: Final answer
    x = 383,805.06

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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.