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Finding the Fourth Proportional to 512,034.72, 768,181.76 and 157,066.88

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Solution

The fourth proportional to 512,034.72, 768,181.76 and 157,066.88 is: 235,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,034.72 : 768,181.76 = 157,066.88 : x
  2. Step 2: Convert to fraction form
    512,034.72/768,181.76 = 157,066.88/x
  3. Step 3: Cross multiply
    512,034.72x = 768,181.76 × 157,066.88
  4. Step 4: Simplify right side
    512,034.72x = 120,655,912,316.11
  5. Step 5: Solve for x
    x = 120,655,912,316.11/512,034.72
  6. Step 6: Final answer
    x = 235,640.10

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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.