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Finding the Fourth Proportional to 542,112.57, 748,062.09 and 312,690.87

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Solution

The fourth proportional to 542,112.57, 748,062.09 and 312,690.87 is: 431,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,112.57 : 748,062.09 = 312,690.87 : x
  2. Step 2: Convert to fraction form
    542,112.57/748,062.09 = 312,690.87/x
  3. Step 3: Cross multiply
    542,112.57x = 748,062.09 × 312,690.87
  4. Step 4: Simplify right side
    542,112.57x = 233,912,185,736.12
  5. Step 5: Solve for x
    x = 233,912,185,736.12/542,112.57
  6. Step 6: Final answer
    x = 431,482.68

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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.