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Finding the Fourth Proportional to 298,344.81, 447,531.96 and 85,144.14

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Solution

The fourth proportional to 298,344.81, 447,531.96 and 85,144.14 is: 127,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,344.81 : 447,531.96 = 85,144.14 : x
  2. Step 2: Convert to fraction form
    298,344.81/447,531.96 = 85,144.14/x
  3. Step 3: Cross multiply
    298,344.81x = 447,531.96 × 85,144.14
  4. Step 4: Simplify right side
    298,344.81x = 38,104,723,856.71
  5. Step 5: Solve for x
    x = 38,104,723,856.71/298,344.81
  6. Step 6: Final answer
    x = 127,720.42

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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.