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Finding the Fourth Proportional to 231,866.76, 321,613.14 and 225,721.29

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Solution

The fourth proportional to 231,866.76, 321,613.14 and 225,721.29 is: 313,089.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,866.76 : 321,613.14 = 225,721.29 : x
  2. Step 2: Convert to fraction form
    231,866.76/321,613.14 = 225,721.29/x
  3. Step 3: Cross multiply
    231,866.76x = 321,613.14 × 225,721.29
  4. Step 4: Simplify right side
    231,866.76x = 72,594,932,841.75
  5. Step 5: Solve for x
    x = 72,594,932,841.75/231,866.76
  6. Step 6: Final answer
    x = 313,089.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.