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Finding the Fourth Proportional to 512,061.89, 768,168.90 and 165,729.47

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Solution

The fourth proportional to 512,061.89, 768,168.90 and 165,729.47 is: 248,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,061.89 : 768,168.90 = 165,729.47 : x
  2. Step 2: Convert to fraction form
    512,061.89/768,168.90 = 165,729.47/x
  3. Step 3: Cross multiply
    512,061.89x = 768,168.90 × 165,729.47
  4. Step 4: Simplify right side
    512,061.89x = 127,308,220,826.64
  5. Step 5: Solve for x
    x = 127,308,220,826.64/512,061.89
  6. Step 6: Final answer
    x = 248,618.82

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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.