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Finding the Fourth Proportional to 229,381.39, 343,683.82 and 140,449.20

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Solution

The fourth proportional to 229,381.39, 343,683.82 and 140,449.20 is: 210,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,381.39 : 343,683.82 = 140,449.20 : x
  2. Step 2: Convert to fraction form
    229,381.39/343,683.82 = 140,449.20/x
  3. Step 3: Cross multiply
    229,381.39x = 343,683.82 × 140,449.20
  4. Step 4: Simplify right side
    229,381.39x = 48,270,117,571.94
  5. Step 5: Solve for x
    x = 48,270,117,571.94/229,381.39
  6. Step 6: Final answer
    x = 210,436.07

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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.