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Finding the Fourth Proportional to 229,161.60, 343,742.40 and 149,446.80

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Solution

The fourth proportional to 229,161.60, 343,742.40 and 149,446.80 is: 224,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,161.60 : 343,742.40 = 149,446.80 : x
  2. Step 2: Convert to fraction form
    229,161.60/343,742.40 = 149,446.80/x
  3. Step 3: Cross multiply
    229,161.60x = 343,742.40 × 149,446.80
  4. Step 4: Simplify right side
    229,161.60x = 51,371,201,704.32
  5. Step 5: Solve for x
    x = 51,371,201,704.32/229,161.60
  6. Step 6: Final answer
    x = 224,170.20

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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.