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Finding the Fourth Proportional to 381,581.84, 572,372.80 and 132,263.84

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Solution

The fourth proportional to 381,581.84, 572,372.80 and 132,263.84 is: 198,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,581.84 : 572,372.80 = 132,263.84 : x
  2. Step 2: Convert to fraction form
    381,581.84/572,372.80 = 132,263.84/x
  3. Step 3: Cross multiply
    381,581.84x = 572,372.80 × 132,263.84
  4. Step 4: Simplify right side
    381,581.84x = 75,704,224,439.55
  5. Step 5: Solve for x
    x = 75,704,224,439.55/381,581.84
  6. Step 6: Final answer
    x = 198,395.77

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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.