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Finding the Fourth Proportional to 285,469.80, 393,990.26 and 164,587.43

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Solution

The fourth proportional to 285,469.80, 393,990.26 and 164,587.43 is: 227,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,469.80 : 393,990.26 = 164,587.43 : x
  2. Step 2: Convert to fraction form
    285,469.80/393,990.26 = 164,587.43/x
  3. Step 3: Cross multiply
    285,469.80x = 393,990.26 × 164,587.43
  4. Step 4: Simplify right side
    285,469.80x = 64,845,841,545.54
  5. Step 5: Solve for x
    x = 64,845,841,545.54/285,469.80
  6. Step 6: Final answer
    x = 227,154.82

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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.