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Finding the Fourth Proportional to 298,378.28, 447,593.95 and 85,142.14

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Solution

The fourth proportional to 298,378.28, 447,593.95 and 85,142.14 is: 127,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,378.28 : 447,593.95 = 85,142.14 : x
  2. Step 2: Convert to fraction form
    298,378.28/447,593.95 = 85,142.14/x
  3. Step 3: Cross multiply
    298,378.28x = 447,593.95 × 85,142.14
  4. Step 4: Simplify right side
    298,378.28x = 38,109,105,741.50
  5. Step 5: Solve for x
    x = 38,109,105,741.50/298,378.28
  6. Step 6: Final answer
    x = 127,720.78

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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.