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Finding the Fourth Proportional to 381,490, 572,337.06 and 132,172

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Solution

The fourth proportional to 381,490, 572,337.06 and 132,172 is: 198,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,490 : 572,337.06 = 132,172 : x
  2. Step 2: Convert to fraction form
    381,490/572,337.06 = 132,172/x
  3. Step 3: Cross multiply
    381,490x = 572,337.06 × 132,172
  4. Step 4: Simplify right side
    381,490x = 75,646,933,894.32
  5. Step 5: Solve for x
    x = 75,646,933,894.32/381,490
  6. Step 6: Final answer
    x = 198,293.36

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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.