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Finding the Fourth Proportional to 542,199.52, 748,268.38 and 312,752.54

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Solution

The fourth proportional to 542,199.52, 748,268.38 and 312,752.54 is: 431,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,199.52 : 748,268.38 = 312,752.54 : x
  2. Step 2: Convert to fraction form
    542,199.52/748,268.38 = 312,752.54/x
  3. Step 3: Cross multiply
    542,199.52x = 748,268.38 × 312,752.54
  4. Step 4: Simplify right side
    542,199.52x = 234,022,838,708.30
  5. Step 5: Solve for x
    x = 234,022,838,708.30/542,199.52
  6. Step 6: Final answer
    x = 431,617.57

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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.