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Finding the Fourth Proportional to 542,604.47, 748,757.54 and 313,171.43

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Solution

The fourth proportional to 542,604.47, 748,757.54 and 313,171.43 is: 432,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,604.47 : 748,757.54 = 313,171.43 : x
  2. Step 2: Convert to fraction form
    542,604.47/748,757.54 = 313,171.43/x
  3. Step 3: Cross multiply
    542,604.47x = 748,757.54 × 313,171.43
  4. Step 4: Simplify right side
    542,604.47x = 234,489,467,959.23
  5. Step 5: Solve for x
    x = 234,489,467,959.23/542,604.47
  6. Step 6: Final answer
    x = 432,155.43

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1.5x scale

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.