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Finding the Fourth Proportional to 515,564.65, 773,162.43 and 178,514.83

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Solution

The fourth proportional to 515,564.65, 773,162.43 and 178,514.83 is: 267,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,564.65 : 773,162.43 = 178,514.83 : x
  2. Step 2: Convert to fraction form
    515,564.65/773,162.43 = 178,514.83/x
  3. Step 3: Cross multiply
    515,564.65x = 773,162.43 × 178,514.83
  4. Step 4: Simplify right side
    515,564.65x = 138,020,959,753.84
  5. Step 5: Solve for x
    x = 138,020,959,753.84/515,564.65
  6. Step 6: Final answer
    x = 267,708.35

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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.