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Finding the Fourth Proportional to 542,257.26, 748,143.96 and 312,783.72

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Solution

The fourth proportional to 542,257.26, 748,143.96 and 312,783.72 is: 431,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,257.26 : 748,143.96 = 312,783.72 : x
  2. Step 2: Convert to fraction form
    542,257.26/748,143.96 = 312,783.72/x
  3. Step 3: Cross multiply
    542,257.26x = 748,143.96 × 312,783.72
  4. Step 4: Simplify right side
    542,257.26x = 234,007,250,904.33
  5. Step 5: Solve for x
    x = 234,007,250,904.33/542,257.26
  6. Step 6: Final answer
    x = 431,542.86

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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.