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Finding the Fourth Proportional to 491,884.33, 738,040.92 and 172,265.48

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Solution

The fourth proportional to 491,884.33, 738,040.92 and 172,265.48 is: 258,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,884.33 : 738,040.92 = 172,265.48 : x
  2. Step 2: Convert to fraction form
    491,884.33/738,040.92 = 172,265.48/x
  3. Step 3: Cross multiply
    491,884.33x = 738,040.92 × 172,265.48
  4. Step 4: Simplify right side
    491,884.33x = 127,138,975,926.38
  5. Step 5: Solve for x
    x = 127,138,975,926.38/491,884.33
  6. Step 6: Final answer
    x = 258,473.32

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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.