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Finding the Fourth Proportional to 512,139.20, 768,266.40 and 157,150.40

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Solution

The fourth proportional to 512,139.20, 768,266.40 and 157,150.40 is: 235,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,139.20 : 768,266.40 = 157,150.40 : x
  2. Step 2: Convert to fraction form
    512,139.20/768,266.40 = 157,150.40/x
  3. Step 3: Cross multiply
    512,139.20x = 768,266.40 × 157,150.40
  4. Step 4: Simplify right side
    512,139.20x = 120,733,372,066.56
  5. Step 5: Solve for x
    x = 120,733,372,066.56/512,139.20
  6. Step 6: Final answer
    x = 235,743.27

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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.