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Finding the Fourth Proportional to 296,648.64, 444,661.92 and 138,744

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Solution

The fourth proportional to 296,648.64, 444,661.92 and 138,744 is: 207,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,648.64 : 444,661.92 = 138,744 : x
  2. Step 2: Convert to fraction form
    296,648.64/444,661.92 = 138,744/x
  3. Step 3: Cross multiply
    296,648.64x = 444,661.92 × 138,744
  4. Step 4: Simplify right side
    296,648.64x = 61,694,173,428.48
  5. Step 5: Solve for x
    x = 61,694,173,428.48/296,648.64
  6. Step 6: Final answer
    x = 207,970.53

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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.