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Finding the Fourth Proportional to 381,385.92, 572,082.34 and 97,076.80

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Solution

The fourth proportional to 381,385.92, 572,082.34 and 97,076.80 is: 145,616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,385.92 : 572,082.34 = 97,076.80 : x
  2. Step 2: Convert to fraction form
    381,385.92/572,082.34 = 97,076.80/x
  3. Step 3: Cross multiply
    381,385.92x = 572,082.34 × 97,076.80
  4. Step 4: Simplify right side
    381,385.92x = 55,535,922,903.71
  5. Step 5: Solve for x
    x = 55,535,922,903.71/381,385.92
  6. Step 6: Final answer
    x = 145,616.08

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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.