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Finding the Fourth Proportional to 491,885.33, 738,042.42 and 172,266.48

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Solution

The fourth proportional to 491,885.33, 738,042.42 and 172,266.48 is: 258,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,885.33 : 738,042.42 = 172,266.48 : x
  2. Step 2: Convert to fraction form
    491,885.33/738,042.42 = 172,266.48/x
  3. Step 3: Cross multiply
    491,885.33x = 738,042.42 × 172,266.48
  4. Step 4: Simplify right side
    491,885.33x = 127,139,969,784.08
  5. Step 5: Solve for x
    x = 127,139,969,784.08/491,885.33
  6. Step 6: Final answer
    x = 258,474.82

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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.