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Finding the Fourth Proportional to 542,306.28, 748,427.46 and 300,664.64

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Solution

The fourth proportional to 542,306.28, 748,427.46 and 300,664.64 is: 414,942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,306.28 : 748,427.46 = 300,664.64 : x
  2. Step 2: Convert to fraction form
    542,306.28/748,427.46 = 300,664.64/x
  3. Step 3: Cross multiply
    542,306.28x = 748,427.46 × 300,664.64
  4. Step 4: Simplify right side
    542,306.28x = 225,025,672,827.01
  5. Step 5: Solve for x
    x = 225,025,672,827.01/542,306.28
  6. Step 6: Final answer
    x = 414,942.04

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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.