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Finding the Fourth Proportional to 305,874.60, 458,593.20 and 137,256.90

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Solution

The fourth proportional to 305,874.60, 458,593.20 and 137,256.90 is: 205,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,874.60 : 458,593.20 = 137,256.90 : x
  2. Step 2: Convert to fraction form
    305,874.60/458,593.20 = 137,256.90/x
  3. Step 3: Cross multiply
    305,874.60x = 458,593.20 × 137,256.90
  4. Step 4: Simplify right side
    305,874.60x = 62,945,080,993.08
  5. Step 5: Solve for x
    x = 62,945,080,993.08/305,874.60
  6. Step 6: Final answer
    x = 205,787.21

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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.