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Finding the Fourth Proportional to 512,275.76, 768,527.88 and 157,325.60

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Solution

The fourth proportional to 512,275.76, 768,527.88 and 157,325.60 is: 236,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,275.76 : 768,527.88 = 157,325.60 : x
  2. Step 2: Convert to fraction form
    512,275.76/768,527.88 = 157,325.60/x
  3. Step 3: Cross multiply
    512,275.76x = 768,527.88 × 157,325.60
  4. Step 4: Simplify right side
    512,275.76x = 120,909,109,837.73
  5. Step 5: Solve for x
    x = 120,909,109,837.73/512,275.76
  6. Step 6: Final answer
    x = 236,023.48

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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.