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Finding the Fourth Proportional to 542,150, 748,183.40 and 300,409.96

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Solution

The fourth proportional to 542,150, 748,183.40 and 300,409.96 is: 414,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,150 : 748,183.40 = 300,409.96 : x
  2. Step 2: Convert to fraction form
    542,150/748,183.40 = 300,409.96/x
  3. Step 3: Cross multiply
    542,150x = 748,183.40 × 300,409.96
  4. Step 4: Simplify right side
    542,150x = 224,761,745,266.66
  5. Step 5: Solve for x
    x = 224,761,745,266.66/542,150
  6. Step 6: Final answer
    x = 414,574.83

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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.