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Finding the Fourth Proportional to 305,845.60, 458,549.70 and 137,227.90

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Solution

The fourth proportional to 305,845.60, 458,549.70 and 137,227.90 is: 205,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,845.60 : 458,549.70 = 137,227.90 : x
  2. Step 2: Convert to fraction form
    305,845.60/458,549.70 = 137,227.90/x
  3. Step 3: Cross multiply
    305,845.60x = 458,549.70 × 137,227.90
  4. Step 4: Simplify right side
    305,845.60x = 62,925,812,376.63
  5. Step 5: Solve for x
    x = 62,925,812,376.63/305,845.60
  6. Step 6: Final answer
    x = 205,743.72

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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.