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Finding the Fourth Proportional to 231,044.40, 345,983.40 and 151,729.20

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Solution

The fourth proportional to 231,044.40, 345,983.40 and 151,729.20 is: 227,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,044.40 : 345,983.40 = 151,729.20 : x
  2. Step 2: Convert to fraction form
    231,044.40/345,983.40 = 151,729.20/x
  3. Step 3: Cross multiply
    231,044.40x = 345,983.40 × 151,729.20
  4. Step 4: Simplify right side
    231,044.40x = 52,495,784,495.28
  5. Step 5: Solve for x
    x = 52,495,784,495.28/231,044.40
  6. Step 6: Final answer
    x = 227,210.81

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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.