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Finding the Fourth Proportional to 381,601.40, 572,402.10 and 101,118.65

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Solution

The fourth proportional to 381,601.40, 572,402.10 and 101,118.65 is: 151,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,601.40 : 572,402.10 = 101,118.65 : x
  2. Step 2: Convert to fraction form
    381,601.40/572,402.10 = 101,118.65/x
  3. Step 3: Cross multiply
    381,601.40x = 572,402.10 × 101,118.65
  4. Step 4: Simplify right side
    381,601.40x = 57,880,527,609.17
  5. Step 5: Solve for x
    x = 57,880,527,609.17/381,601.40
  6. Step 6: Final answer
    x = 151,677.98

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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.