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Finding the Fourth Proportional to 391,498.60, 587,247.90 and 311,319.40

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Solution

The fourth proportional to 391,498.60, 587,247.90 and 311,319.40 is: 466,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,498.60 : 587,247.90 = 311,319.40 : x
  2. Step 2: Convert to fraction form
    391,498.60/587,247.90 = 311,319.40/x
  3. Step 3: Cross multiply
    391,498.60x = 587,247.90 × 311,319.40
  4. Step 4: Simplify right side
    391,498.60x = 182,821,663,879.26
  5. Step 5: Solve for x
    x = 182,821,663,879.26/391,498.60
  6. Step 6: Final answer
    x = 466,979.10

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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.