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Finding the Fourth Proportional to 542,098.75, 748,083.85 and 312,656.48

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Solution

The fourth proportional to 542,098.75, 748,083.85 and 312,656.48 is: 431,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,098.75 : 748,083.85 = 312,656.48 : x
  2. Step 2: Convert to fraction form
    542,098.75/748,083.85 = 312,656.48/x
  3. Step 3: Cross multiply
    542,098.75x = 748,083.85 × 312,656.48
  4. Step 4: Simplify right side
    542,098.75x = 233,893,265,431.78
  5. Step 5: Solve for x
    x = 233,893,265,431.78/542,098.75
  6. Step 6: Final answer
    x = 431,458.78

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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.