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Finding the Fourth Proportional to 512,011.89, 767,765.10 and 156,940.29

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Solution

The fourth proportional to 512,011.89, 767,765.10 and 156,940.29 is: 235,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,011.89 : 767,765.10 = 156,940.29 : x
  2. Step 2: Convert to fraction form
    512,011.89/767,765.10 = 156,940.29/x
  3. Step 3: Cross multiply
    512,011.89x = 767,765.10 × 156,940.29
  4. Step 4: Simplify right side
    512,011.89x = 120,493,277,445.88
  5. Step 5: Solve for x
    x = 120,493,277,445.88/512,011.89
  6. Step 6: Final answer
    x = 235,332.97

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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.