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Finding the Fourth Proportional to 515,564.43, 773,162.16 and 178,514.65

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Solution

The fourth proportional to 515,564.43, 773,162.16 and 178,514.65 is: 267,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,564.43 : 773,162.16 = 178,514.65 : x
  2. Step 2: Convert to fraction form
    515,564.43/773,162.16 = 178,514.65/x
  3. Step 3: Cross multiply
    515,564.43x = 773,162.16 × 178,514.65
  4. Step 4: Simplify right side
    515,564.43x = 138,020,772,385.64
  5. Step 5: Solve for x
    x = 138,020,772,385.64/515,564.43
  6. Step 6: Final answer
    x = 267,708.10

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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.