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Finding the Fourth Proportional to 421,744.15, 632,615.72 and 137,434.25

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Solution

The fourth proportional to 421,744.15, 632,615.72 and 137,434.25 is: 206,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,744.15 : 632,615.72 = 137,434.25 : x
  2. Step 2: Convert to fraction form
    421,744.15/632,615.72 = 137,434.25/x
  3. Step 3: Cross multiply
    421,744.15x = 632,615.72 × 137,434.25
  4. Step 4: Simplify right side
    421,744.15x = 86,943,067,016.41
  5. Step 5: Solve for x
    x = 86,943,067,016.41/421,744.15
  6. Step 6: Final answer
    x = 206,151.21

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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.