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Finding the Fourth Proportional to 381,898.44, 572,818.50 and 129,200.04

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Solution

The fourth proportional to 381,898.44, 572,818.50 and 129,200.04 is: 193,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,898.44 : 572,818.50 = 129,200.04 : x
  2. Step 2: Convert to fraction form
    381,898.44/572,818.50 = 129,200.04/x
  3. Step 3: Cross multiply
    381,898.44x = 572,818.50 × 129,200.04
  4. Step 4: Simplify right side
    381,898.44x = 74,008,173,112.74
  5. Step 5: Solve for x
    x = 74,008,173,112.74/381,898.44
  6. Step 6: Final answer
    x = 193,790.19

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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.