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Finding the Fourth Proportional to 542,134.70, 748,150.28 and 300,421.31

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Solution

The fourth proportional to 542,134.70, 748,150.28 and 300,421.31 is: 414,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,134.70 : 748,150.28 = 300,421.31 : x
  2. Step 2: Convert to fraction form
    542,134.70/748,150.28 = 300,421.31/x
  3. Step 3: Cross multiply
    542,134.70x = 748,150.28 × 300,421.31
  4. Step 4: Simplify right side
    542,134.70x = 224,760,287,194.47
  5. Step 5: Solve for x
    x = 224,760,287,194.47/542,134.70
  6. Step 6: Final answer
    x = 414,583.84

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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.