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Finding the Fourth Proportional to 324,122.31, 486,235.31 and 137,135.43

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Solution

The fourth proportional to 324,122.31, 486,235.31 and 137,135.43 is: 205,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,122.31 : 486,235.31 = 137,135.43 : x
  2. Step 2: Convert to fraction form
    324,122.31/486,235.31 = 137,135.43/x
  3. Step 3: Cross multiply
    324,122.31x = 486,235.31 × 137,135.43
  4. Step 4: Simplify right side
    324,122.31x = 66,680,087,632.36
  5. Step 5: Solve for x
    x = 66,680,087,632.36/324,122.31
  6. Step 6: Final answer
    x = 205,725.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.