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Finding the Fourth Proportional to 512,512.60, 768,768.90 and 484,956.40

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Solution

The fourth proportional to 512,512.60, 768,768.90 and 484,956.40 is: 727,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,512.60 : 768,768.90 = 484,956.40 : x
  2. Step 2: Convert to fraction form
    512,512.60/768,768.90 = 484,956.40/x
  3. Step 3: Cross multiply
    512,512.60x = 768,768.90 × 484,956.40
  4. Step 4: Simplify right side
    512,512.60x = 372,819,398,175.96
  5. Step 5: Solve for x
    x = 372,819,398,175.96/512,512.60
  6. Step 6: Final answer
    x = 727,434.60

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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.