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Finding the Fourth Proportional to 542,135.70, 748,151.66 and 300,422.30

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Solution

The fourth proportional to 542,135.70, 748,151.66 and 300,422.30 is: 414,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,135.70 : 748,151.66 = 300,422.30 : x
  2. Step 2: Convert to fraction form
    542,135.70/748,151.66 = 300,422.30/x
  3. Step 3: Cross multiply
    542,135.70x = 748,151.66 × 300,422.30
  4. Step 4: Simplify right side
    542,135.70x = 224,761,442,446.02
  5. Step 5: Solve for x
    x = 224,761,442,446.02/542,135.70
  6. Step 6: Final answer
    x = 414,585.21

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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.