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Finding the Fourth Proportional to 229,614.75, 344,105.01 and 128,466

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Solution

The fourth proportional to 229,614.75, 344,105.01 and 128,466 is: 192,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,614.75 : 344,105.01 = 128,466 : x
  2. Step 2: Convert to fraction form
    229,614.75/344,105.01 = 128,466/x
  3. Step 3: Cross multiply
    229,614.75x = 344,105.01 × 128,466
  4. Step 4: Simplify right side
    229,614.75x = 44,205,794,214.66
  5. Step 5: Solve for x
    x = 44,205,794,214.66/229,614.75
  6. Step 6: Final answer
    x = 192,521.58

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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.