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Finding the Fourth Proportional to 391,497.20, 587,245.80 and 322,377.20

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Solution

The fourth proportional to 391,497.20, 587,245.80 and 322,377.20 is: 483,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,497.20 : 587,245.80 = 322,377.20 : x
  2. Step 2: Convert to fraction form
    391,497.20/587,245.80 = 322,377.20/x
  3. Step 3: Cross multiply
    391,497.20x = 587,245.80 × 322,377.20
  4. Step 4: Simplify right side
    391,497.20x = 189,314,656,715.76
  5. Step 5: Solve for x
    x = 189,314,656,715.76/391,497.20
  6. Step 6: Final answer
    x = 483,565.80

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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.