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Finding the Fourth Proportional to 313,049.75, 469,648.34 and 249,249.20

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Solution

The fourth proportional to 313,049.75, 469,648.34 and 249,249.20 is: 373,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,049.75 : 469,648.34 = 249,249.20 : x
  2. Step 2: Convert to fraction form
    313,049.75/469,648.34 = 249,249.20/x
  3. Step 3: Cross multiply
    313,049.75x = 469,648.34 × 249,249.20
  4. Step 4: Simplify right side
    313,049.75x = 117,059,471,301.21
  5. Step 5: Solve for x
    x = 117,059,471,301.21/313,049.75
  6. Step 6: Final answer
    x = 373,932.48

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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.