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Finding the Fourth Proportional to 485,757, 728,684.11 and 148,793.76

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Solution

The fourth proportional to 485,757, 728,684.11 and 148,793.76 is: 223,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,757 : 728,684.11 = 148,793.76 : x
  2. Step 2: Convert to fraction form
    485,757/728,684.11 = 148,793.76/x
  3. Step 3: Cross multiply
    485,757x = 728,684.11 × 148,793.76
  4. Step 4: Simplify right side
    485,757x = 108,423,648,579.15
  5. Step 5: Solve for x
    x = 108,423,648,579.15/485,757
  6. Step 6: Final answer
    x = 223,205.53

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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.