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Finding the Fourth Proportional to 305,585.30, 458,380.56 and 115,994.78

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Solution

The fourth proportional to 305,585.30, 458,380.56 and 115,994.78 is: 173,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,585.30 : 458,380.56 = 115,994.78 : x
  2. Step 2: Convert to fraction form
    305,585.30/458,380.56 = 115,994.78/x
  3. Step 3: Cross multiply
    305,585.30x = 458,380.56 × 115,994.78
  4. Step 4: Simplify right side
    305,585.30x = 53,169,752,213.48
  5. Step 5: Solve for x
    x = 53,169,752,213.48/305,585.30
  6. Step 6: Final answer
    x = 173,993.16

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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.