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Finding the Fourth Proportional to 542,704.97, 748,957.85 and 300,973.13

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Solution

The fourth proportional to 542,704.97, 748,957.85 and 300,973.13 is: 415,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,704.97 : 748,957.85 = 300,973.13 : x
  2. Step 2: Convert to fraction form
    542,704.97/748,957.85 = 300,973.13/x
  3. Step 3: Cross multiply
    542,704.97x = 748,957.85 × 300,973.13
  4. Step 4: Simplify right side
    542,704.97x = 225,416,190,977.40
  5. Step 5: Solve for x
    x = 225,416,190,977.40/542,704.97
  6. Step 6: Final answer
    x = 415,356.79

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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.