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Finding the Fourth Proportional to 512,207.16, 768,243.24 and 157,191.45

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Solution

The fourth proportional to 512,207.16, 768,243.24 and 157,191.45 is: 235,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,207.16 : 768,243.24 = 157,191.45 : x
  2. Step 2: Convert to fraction form
    512,207.16/768,243.24 = 157,191.45/x
  3. Step 3: Cross multiply
    512,207.16x = 768,243.24 × 157,191.45
  4. Step 4: Simplify right side
    512,207.16x = 120,761,268,848.30
  5. Step 5: Solve for x
    x = 120,761,268,848.30/512,207.16
  6. Step 6: Final answer
    x = 235,766.46

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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.