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Finding the Fourth Proportional to 300,744.70, 415,023.15 and 164,778.10

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Solution

The fourth proportional to 300,744.70, 415,023.15 and 164,778.10 is: 227,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,744.70 : 415,023.15 = 164,778.10 : x
  2. Step 2: Convert to fraction form
    300,744.70/415,023.15 = 164,778.10/x
  3. Step 3: Cross multiply
    300,744.70x = 415,023.15 × 164,778.10
  4. Step 4: Simplify right side
    300,744.70x = 68,386,726,113.02
  5. Step 5: Solve for x
    x = 68,386,726,113.02/300,744.70
  6. Step 6: Final answer
    x = 227,391.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.