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Finding the Fourth Proportional to 512,788.72, 769,255.98 and 157,832.32

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Solution

The fourth proportional to 512,788.72, 769,255.98 and 157,832.32 is: 236,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,788.72 : 769,255.98 = 157,832.32 : x
  2. Step 2: Convert to fraction form
    512,788.72/769,255.98 = 157,832.32/x
  3. Step 3: Cross multiply
    512,788.72x = 769,255.98 × 157,832.32
  4. Step 4: Simplify right side
    512,788.72x = 121,413,455,997.27
  5. Step 5: Solve for x
    x = 121,413,455,997.27/512,788.72
  6. Step 6: Final answer
    x = 236,770.92

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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.