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Finding the Fourth Proportional to 391,478, 587,246.28 and 111,017.84

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Solution

The fourth proportional to 391,478, 587,246.28 and 111,017.84 is: 166,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,478 : 587,246.28 = 111,017.84 : x
  2. Step 2: Convert to fraction form
    391,478/587,246.28 = 111,017.84/x
  3. Step 3: Cross multiply
    391,478x = 587,246.28 × 111,017.84
  4. Step 4: Simplify right side
    391,478x = 65,194,813,553.64
  5. Step 5: Solve for x
    x = 65,194,813,553.64/391,478
  6. Step 6: Final answer
    x = 166,535.06

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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.