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Finding the Fourth Proportional to 512,795.12, 769,265.56 and 157,838.72

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Solution

The fourth proportional to 512,795.12, 769,265.56 and 157,838.72 is: 236,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,795.12 : 769,265.56 = 157,838.72 : x
  2. Step 2: Convert to fraction form
    512,795.12/769,265.56 = 157,838.72/x
  3. Step 3: Cross multiply
    512,795.12x = 769,265.56 × 157,838.72
  4. Step 4: Simplify right side
    512,795.12x = 121,419,891,330.48
  5. Step 5: Solve for x
    x = 121,419,891,330.48/512,795.12
  6. Step 6: Final answer
    x = 236,780.51

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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.