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Finding the Fourth Proportional to 538,691.31, 743,398.83 and 296,982.41

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Solution

The fourth proportional to 538,691.31, 743,398.83 and 296,982.41 is: 409,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,691.31 : 743,398.83 = 296,982.41 : x
  2. Step 2: Convert to fraction form
    538,691.31/743,398.83 = 296,982.41/x
  3. Step 3: Cross multiply
    538,691.31x = 743,398.83 × 296,982.41
  4. Step 4: Simplify right side
    538,691.31x = 220,776,372,407.59
  5. Step 5: Solve for x
    x = 220,776,372,407.59/538,691.31
  6. Step 6: Final answer
    x = 409,838.38

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1.5x scale

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.