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Finding the Fourth Proportional to 391,735.28, 587,603.12 and 258,584.42

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Solution

The fourth proportional to 391,735.28, 587,603.12 and 258,584.42 is: 387,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,735.28 : 587,603.12 = 258,584.42 : x
  2. Step 2: Convert to fraction form
    391,735.28/587,603.12 = 258,584.42/x
  3. Step 3: Cross multiply
    391,735.28x = 587,603.12 × 258,584.42
  4. Step 4: Simplify right side
    391,735.28x = 151,945,011,328.93
  5. Step 5: Solve for x
    x = 151,945,011,328.93/391,735.28
  6. Step 6: Final answer
    x = 387,876.76

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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.