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Finding the Fourth Proportional to 512,433.90, 768,766.05 and 157,464.30

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Solution

The fourth proportional to 512,433.90, 768,766.05 and 157,464.30 is: 236,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,433.90 : 768,766.05 = 157,464.30 : x
  2. Step 2: Convert to fraction form
    512,433.90/768,766.05 = 157,464.30/x
  3. Step 3: Cross multiply
    512,433.90x = 768,766.05 × 157,464.30
  4. Step 4: Simplify right side
    512,433.90x = 121,053,207,927.02
  5. Step 5: Solve for x
    x = 121,053,207,927.02/512,433.90
  6. Step 6: Final answer
    x = 236,231.85

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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.