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Finding the Fourth Proportional to 381,862.90, 526,912.22 and 220,686.82

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Solution

The fourth proportional to 381,862.90, 526,912.22 and 220,686.82 is: 304,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,862.90 : 526,912.22 = 220,686.82 : x
  2. Step 2: Convert to fraction form
    381,862.90/526,912.22 = 220,686.82/x
  3. Step 3: Cross multiply
    381,862.90x = 526,912.22 × 220,686.82
  4. Step 4: Simplify right side
    381,862.90x = 116,282,582,250.94
  5. Step 5: Solve for x
    x = 116,282,582,250.94/381,862.90
  6. Step 6: Final answer
    x = 304,513.96

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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.