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Finding the Fourth Proportional to 512,645.65, 769,042.01 and 157,689.61

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Solution

The fourth proportional to 512,645.65, 769,042.01 and 157,689.61 is: 236,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,645.65 : 769,042.01 = 157,689.61 : x
  2. Step 2: Convert to fraction form
    512,645.65/769,042.01 = 157,689.61/x
  3. Step 3: Cross multiply
    512,645.65x = 769,042.01 × 157,689.61
  4. Step 4: Simplify right side
    512,645.65x = 121,269,934,630.52
  5. Step 5: Solve for x
    x = 121,269,934,630.52/512,645.65
  6. Step 6: Final answer
    x = 236,557.03

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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.