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Finding the Fourth Proportional to 275,207, 412,758.29 and 85,669.73

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Solution

The fourth proportional to 275,207, 412,758.29 and 85,669.73 is: 128,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,207 : 412,758.29 = 85,669.73 : x
  2. Step 2: Convert to fraction form
    275,207/412,758.29 = 85,669.73/x
  3. Step 3: Cross multiply
    275,207x = 412,758.29 × 85,669.73
  4. Step 4: Simplify right side
    275,207x = 35,360,891,259.56
  5. Step 5: Solve for x
    x = 35,360,891,259.56/275,207
  6. Step 6: Final answer
    x = 128,488.34

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1.5x scale

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.