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Finding the Fourth Proportional to 305,475.57, 458,029.17 and 136,965.42

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Solution

The fourth proportional to 305,475.57, 458,029.17 and 136,965.42 is: 205,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,475.57 : 458,029.17 = 136,965.42 : x
  2. Step 2: Convert to fraction form
    305,475.57/458,029.17 = 136,965.42/x
  3. Step 3: Cross multiply
    305,475.57x = 458,029.17 × 136,965.42
  4. Step 4: Simplify right side
    305,475.57x = 62,734,157,641.30
  5. Step 5: Solve for x
    x = 62,734,157,641.30/305,475.57
  6. Step 6: Final answer
    x = 205,365.55

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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.