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Finding the Fourth Proportional to 391,427, 587,140.50 and 95,939

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Solution

The fourth proportional to 391,427, 587,140.50 and 95,939 is: 143,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,427 : 587,140.50 = 95,939 : x
  2. Step 2: Convert to fraction form
    391,427/587,140.50 = 95,939/x
  3. Step 3: Cross multiply
    391,427x = 587,140.50 × 95,939
  4. Step 4: Simplify right side
    391,427x = 56,329,672,429.50
  5. Step 5: Solve for x
    x = 56,329,672,429.50/391,427
  6. Step 6: Final answer
    x = 143,908.50

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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.