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Finding the Fourth Proportional to 541,128, 746,754.21 and 311,601.54

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Solution

The fourth proportional to 541,128, 746,754.21 and 311,601.54 is: 430,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,128 : 746,754.21 = 311,601.54 : x
  2. Step 2: Convert to fraction form
    541,128/746,754.21 = 311,601.54/x
  3. Step 3: Cross multiply
    541,128x = 746,754.21 × 311,601.54
  4. Step 4: Simplify right side
    541,128x = 232,689,761,837.48
  5. Step 5: Solve for x
    x = 232,689,761,837.48/541,128
  6. Step 6: Final answer
    x = 430,008.73

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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.