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Finding the Fourth Proportional to 538,448.70, 743,049 and 296,753.70

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Solution

The fourth proportional to 538,448.70, 743,049 and 296,753.70 is: 409,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,448.70 : 743,049 = 296,753.70 : x
  2. Step 2: Convert to fraction form
    538,448.70/743,049 = 296,753.70/x
  3. Step 3: Cross multiply
    538,448.70x = 743,049 × 296,753.70
  4. Step 4: Simplify right side
    538,448.70x = 220,502,540,031.30
  5. Step 5: Solve for x
    x = 220,502,540,031.30/538,448.70
  6. Step 6: Final answer
    x = 409,514.48

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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.