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Finding the Fourth Proportional to 381,824.97, 526,887.63 and 220,690.46

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Solution

The fourth proportional to 381,824.97, 526,887.63 and 220,690.46 is: 304,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,824.97 : 526,887.63 = 220,690.46 : x
  2. Step 2: Convert to fraction form
    381,824.97/526,887.63 = 220,690.46/x
  3. Step 3: Cross multiply
    381,824.97x = 526,887.63 × 220,690.46
  4. Step 4: Simplify right side
    381,824.97x = 116,279,070,798.57
  5. Step 5: Solve for x
    x = 116,279,070,798.57/381,824.97
  6. Step 6: Final answer
    x = 304,535.01

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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.