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Finding the Fourth Proportional to 381,878.60, 572,429.10 and 224,025.80

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Solution

The fourth proportional to 381,878.60, 572,429.10 and 224,025.80 is: 335,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,878.60 : 572,429.10 = 224,025.80 : x
  2. Step 2: Convert to fraction form
    381,878.60/572,429.10 = 224,025.80/x
  3. Step 3: Cross multiply
    381,878.60x = 572,429.10 × 224,025.80
  4. Step 4: Simplify right side
    381,878.60x = 128,238,887,070.78
  5. Step 5: Solve for x
    x = 128,238,887,070.78/381,878.60
  6. Step 6: Final answer
    x = 335,810.61

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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.