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Finding the Fourth Proportional to 465,835.88, 642,818.10 and 261,854.36

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Solution

The fourth proportional to 465,835.88, 642,818.10 and 261,854.36 is: 361,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,835.88 : 642,818.10 = 261,854.36 : x
  2. Step 2: Convert to fraction form
    465,835.88/642,818.10 = 261,854.36/x
  3. Step 3: Cross multiply
    465,835.88x = 642,818.10 × 261,854.36
  4. Step 4: Simplify right side
    465,835.88x = 168,324,722,171.92
  5. Step 5: Solve for x
    x = 168,324,722,171.92/465,835.88
  6. Step 6: Final answer
    x = 361,339.11

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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.