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Finding the Fourth Proportional to 265,881.81, 398,490.10 and 132,799.21

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Solution

The fourth proportional to 265,881.81, 398,490.10 and 132,799.21 is: 199,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,881.81 : 398,490.10 = 132,799.21 : x
  2. Step 2: Convert to fraction form
    265,881.81/398,490.10 = 132,799.21/x
  3. Step 3: Cross multiply
    265,881.81x = 398,490.10 × 132,799.21
  4. Step 4: Simplify right side
    265,881.81x = 52,919,170,472.82
  5. Step 5: Solve for x
    x = 52,919,170,472.82/265,881.81
  6. Step 6: Final answer
    x = 199,032.68

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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.