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Finding the Fourth Proportional to 381,381.12, 572,256 and 156,907.20

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Solution

The fourth proportional to 381,381.12, 572,256 and 156,907.20 is: 235,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,381.12 : 572,256 = 156,907.20 : x
  2. Step 2: Convert to fraction form
    381,381.12/572,256 = 156,907.20/x
  3. Step 3: Cross multiply
    381,381.12x = 572,256 × 156,907.20
  4. Step 4: Simplify right side
    381,381.12x = 89,791,086,643.20
  5. Step 5: Solve for x
    x = 89,791,086,643.20/381,381.12
  6. Step 6: Final answer
    x = 235,436.63

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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.