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Finding the Fourth Proportional to 306,757.60, 460,045.60 and 138,180.48

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Solution

The fourth proportional to 306,757.60, 460,045.60 and 138,180.48 is: 207,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,757.60 : 460,045.60 = 138,180.48 : x
  2. Step 2: Convert to fraction form
    306,757.60/460,045.60 = 138,180.48/x
  3. Step 3: Cross multiply
    306,757.60x = 460,045.60 × 138,180.48
  4. Step 4: Simplify right side
    306,757.60x = 63,569,321,829.89
  5. Step 5: Solve for x
    x = 63,569,321,829.89/306,757.60
  6. Step 6: Final answer
    x = 207,229.82

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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.