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Finding the Fourth Proportional to 391,648.40, 587,491.80 and 205,024.40

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Solution

The fourth proportional to 391,648.40, 587,491.80 and 205,024.40 is: 307,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,648.40 : 587,491.80 = 205,024.40 : x
  2. Step 2: Convert to fraction form
    391,648.40/587,491.80 = 205,024.40/x
  3. Step 3: Cross multiply
    391,648.40x = 587,491.80 × 205,024.40
  4. Step 4: Simplify right side
    391,648.40x = 120,450,153,799.92
  5. Step 5: Solve for x
    x = 120,450,153,799.92/391,648.40
  6. Step 6: Final answer
    x = 307,546.65

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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.