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Finding the Fourth Proportional to 542,009.26, 747,952.92 and 312,576.22

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Solution

The fourth proportional to 542,009.26, 747,952.92 and 312,576.22 is: 431,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,009.26 : 747,952.92 = 312,576.22 : x
  2. Step 2: Convert to fraction form
    542,009.26/747,952.92 = 312,576.22/x
  3. Step 3: Cross multiply
    542,009.26x = 747,952.92 × 312,576.22
  4. Step 4: Simplify right side
    542,009.26x = 233,792,296,471.56
  5. Step 5: Solve for x
    x = 233,792,296,471.56/542,009.26
  6. Step 6: Final answer
    x = 431,343.73

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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.