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Finding the Fourth Proportional to 542,708.12, 748,847.49 and 300,952.28

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Solution

The fourth proportional to 542,708.12, 748,847.49 and 300,952.28 is: 415,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,708.12 : 748,847.49 = 300,952.28 : x
  2. Step 2: Convert to fraction form
    542,708.12/748,847.49 = 300,952.28/x
  3. Step 3: Cross multiply
    542,708.12x = 748,847.49 × 300,952.28
  4. Step 4: Simplify right side
    542,708.12x = 225,367,359,487.78
  5. Step 5: Solve for x
    x = 225,367,359,487.78/542,708.12
  6. Step 6: Final answer
    x = 415,264.40

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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.