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Finding the Fourth Proportional to 298,077.24, 447,115.84 and 87,715.24

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Solution

The fourth proportional to 298,077.24, 447,115.84 and 87,715.24 is: 131,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,077.24 : 447,115.84 = 87,715.24 : x
  2. Step 2: Convert to fraction form
    298,077.24/447,115.84 = 87,715.24/x
  3. Step 3: Cross multiply
    298,077.24x = 447,115.84 × 87,715.24
  4. Step 4: Simplify right side
    298,077.24x = 39,218,873,213.40
  5. Step 5: Solve for x
    x = 39,218,873,213.40/298,077.24
  6. Step 6: Final answer
    x = 131,572.85

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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.