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Finding the Fourth Proportional to 227,418, 313,843.32 and 126,822.48

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Solution

The fourth proportional to 227,418, 313,843.32 and 126,822.48 is: 175,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,418 : 313,843.32 = 126,822.48 : x
  2. Step 2: Convert to fraction form
    227,418/313,843.32 = 126,822.48/x
  3. Step 3: Cross multiply
    227,418x = 313,843.32 × 126,822.48
  4. Step 4: Simplify right side
    227,418x = 39,802,388,173.83
  5. Step 5: Solve for x
    x = 39,802,388,173.83/227,418
  6. Step 6: Final answer
    x = 175,018.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.