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Finding the Fourth Proportional to 391,514.60, 587,271.90 and 204,501.80

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Solution

The fourth proportional to 391,514.60, 587,271.90 and 204,501.80 is: 306,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,514.60 : 587,271.90 = 204,501.80 : x
  2. Step 2: Convert to fraction form
    391,514.60/587,271.90 = 204,501.80/x
  3. Step 3: Cross multiply
    391,514.60x = 587,271.90 × 204,501.80
  4. Step 4: Simplify right side
    391,514.60x = 120,098,160,639.42
  5. Step 5: Solve for x
    x = 120,098,160,639.42/391,514.60
  6. Step 6: Final answer
    x = 306,752.70

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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.