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Finding the Fourth Proportional to 381,772.55, 526,857.17 and 218,455.61

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Solution

The fourth proportional to 381,772.55, 526,857.17 and 218,455.61 is: 301,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,772.55 : 526,857.17 = 218,455.61 : x
  2. Step 2: Convert to fraction form
    381,772.55/526,857.17 = 218,455.61/x
  3. Step 3: Cross multiply
    381,772.55x = 526,857.17 × 218,455.61
  4. Step 4: Simplify right side
    381,772.55x = 115,094,900,728.66
  5. Step 5: Solve for x
    x = 115,094,900,728.66/381,772.55
  6. Step 6: Final answer
    x = 301,475.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.