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Finding the Fourth Proportional to 542,704.62, 748,842.66 and 300,948.78

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Solution

The fourth proportional to 542,704.62, 748,842.66 and 300,948.78 is: 415,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,704.62 : 748,842.66 = 300,948.78 : x
  2. Step 2: Convert to fraction form
    542,704.62/748,842.66 = 300,948.78/x
  3. Step 3: Cross multiply
    542,704.62x = 748,842.66 × 300,948.78
  4. Step 4: Simplify right side
    542,704.62x = 225,363,284,938.96
  5. Step 5: Solve for x
    x = 225,363,284,938.96/542,704.62
  6. Step 6: Final answer
    x = 415,259.57

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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.