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Finding the Fourth Proportional to 298,343.78, 447,515.12 and 88,129.34

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Solution

The fourth proportional to 298,343.78, 447,515.12 and 88,129.34 is: 132,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,343.78 : 447,515.12 = 88,129.34 : x
  2. Step 2: Convert to fraction form
    298,343.78/447,515.12 = 88,129.34/x
  3. Step 3: Cross multiply
    298,343.78x = 447,515.12 × 88,129.34
  4. Step 4: Simplify right side
    298,343.78x = 39,439,212,165.62
  5. Step 5: Solve for x
    x = 39,439,212,165.62/298,343.78
  6. Step 6: Final answer
    x = 132,193.85

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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.