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Finding the Fourth Proportional to 535,171.72, 738,528.42 and 293,456.38

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Solution

The fourth proportional to 535,171.72, 738,528.42 and 293,456.38 is: 404,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,171.72 : 738,528.42 = 293,456.38 : x
  2. Step 2: Convert to fraction form
    535,171.72/738,528.42 = 293,456.38/x
  3. Step 3: Cross multiply
    535,171.72x = 738,528.42 × 293,456.38
  4. Step 4: Simplify right side
    535,171.72x = 216,725,876,660.32
  5. Step 5: Solve for x
    x = 216,725,876,660.32/535,171.72
  6. Step 6: Final answer
    x = 404,965.11

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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.