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Finding the Fourth Proportional to 512,217.60, 766,576.80 and 470,227.20

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Solution

The fourth proportional to 512,217.60, 766,576.80 and 470,227.20 is: 703,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,217.60 : 766,576.80 = 470,227.20 : x
  2. Step 2: Convert to fraction form
    512,217.60/766,576.80 = 470,227.20/x
  3. Step 3: Cross multiply
    512,217.60x = 766,576.80 × 470,227.20
  4. Step 4: Simplify right side
    512,217.60x = 360,465,262,248.96
  5. Step 5: Solve for x
    x = 360,465,262,248.96/512,217.60
  6. Step 6: Final answer
    x = 703,734.63

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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.