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Finding the Fourth Proportional to 421,744.50, 632,616.21 and 137,434.59

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Solution

The fourth proportional to 421,744.50, 632,616.21 and 137,434.59 is: 206,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,744.50 : 632,616.21 = 137,434.59 : x
  2. Step 2: Convert to fraction form
    421,744.50/632,616.21 = 137,434.59/x
  3. Step 3: Cross multiply
    421,744.50x = 632,616.21 × 137,434.59
  4. Step 4: Simplify right side
    421,744.50x = 86,943,349,448.70
  5. Step 5: Solve for x
    x = 86,943,349,448.70/421,744.50
  6. Step 6: Final answer
    x = 206,151.71

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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.