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Finding the Fourth Proportional to 391,443.20, 587,164.80 and 181,491.20

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Solution

The fourth proportional to 391,443.20, 587,164.80 and 181,491.20 is: 272,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,443.20 : 587,164.80 = 181,491.20 : x
  2. Step 2: Convert to fraction form
    391,443.20/587,164.80 = 181,491.20/x
  3. Step 3: Cross multiply
    391,443.20x = 587,164.80 × 181,491.20
  4. Step 4: Simplify right side
    391,443.20x = 106,565,244,149.76
  5. Step 5: Solve for x
    x = 106,565,244,149.76/391,443.20
  6. Step 6: Final answer
    x = 272,236.80

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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.