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Finding the Fourth Proportional to 391,764.40, 587,665.80 and 205,140.40

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Solution

The fourth proportional to 391,764.40, 587,665.80 and 205,140.40 is: 307,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,764.40 : 587,665.80 = 205,140.40 : x
  2. Step 2: Convert to fraction form
    391,764.40/587,665.80 = 205,140.40/x
  3. Step 3: Cross multiply
    391,764.40x = 587,665.80 × 205,140.40
  4. Step 4: Simplify right side
    391,764.40x = 120,553,997,278.32
  5. Step 5: Solve for x
    x = 120,553,997,278.32/391,764.40
  6. Step 6: Final answer
    x = 307,720.65

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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.