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Finding the Fourth Proportional to 512,251.60, 766,627.80 and 470,261.20

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Solution

The fourth proportional to 512,251.60, 766,627.80 and 470,261.20 is: 703,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,251.60 : 766,627.80 = 470,261.20 : x
  2. Step 2: Convert to fraction form
    512,251.60/766,627.80 = 470,261.20/x
  3. Step 3: Cross multiply
    512,251.60x = 766,627.80 × 470,261.20
  4. Step 4: Simplify right side
    512,251.60x = 360,515,309,181.36
  5. Step 5: Solve for x
    x = 360,515,309,181.36/512,251.60
  6. Step 6: Final answer
    x = 703,785.62

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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.