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Finding the Fourth Proportional to 265,904.25, 398,855.61 and 66,224.78

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Solution

The fourth proportional to 265,904.25, 398,855.61 and 66,224.78 is: 99,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,904.25 : 398,855.61 = 66,224.78 : x
  2. Step 2: Convert to fraction form
    265,904.25/398,855.61 = 66,224.78/x
  3. Step 3: Cross multiply
    265,904.25x = 398,855.61 × 66,224.78
  4. Step 4: Simplify right side
    265,904.25x = 26,414,123,029.74
  5. Step 5: Solve for x
    x = 26,414,123,029.74/265,904.25
  6. Step 6: Final answer
    x = 99,336.97

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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.