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Finding the Fourth Proportional to 381,868.56, 572,758.52 and 101,407.76

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Solution

The fourth proportional to 381,868.56, 572,758.52 and 101,407.76 is: 152,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,868.56 : 572,758.52 = 101,407.76 : x
  2. Step 2: Convert to fraction form
    381,868.56/572,758.52 = 101,407.76/x
  3. Step 3: Cross multiply
    381,868.56x = 572,758.52 × 101,407.76
  4. Step 4: Simplify right side
    381,868.56x = 58,082,158,534.12
  5. Step 5: Solve for x
    x = 58,082,158,534.12/381,868.56
  6. Step 6: Final answer
    x = 152,099.87

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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.