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Finding the Fourth Proportional to 381,591.46, 572,392.37 and 141,612.63

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Solution

The fourth proportional to 381,591.46, 572,392.37 and 141,612.63 is: 212,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,591.46 : 572,392.37 = 141,612.63 : x
  2. Step 2: Convert to fraction form
    381,591.46/572,392.37 = 141,612.63/x
  3. Step 3: Cross multiply
    381,591.46x = 572,392.37 × 141,612.63
  4. Step 4: Simplify right side
    381,591.46x = 81,057,988,907.63
  5. Step 5: Solve for x
    x = 81,057,988,907.63/381,591.46
  6. Step 6: Final answer
    x = 212,420.87

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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.