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Finding the Fourth Proportional to 225,268.47, 310,857.84 and 123,293.73

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Solution

The fourth proportional to 225,268.47, 310,857.84 and 123,293.73 is: 170,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,268.47 : 310,857.84 = 123,293.73 : x
  2. Step 2: Convert to fraction form
    225,268.47/310,857.84 = 123,293.73/x
  3. Step 3: Cross multiply
    225,268.47x = 310,857.84 × 123,293.73
  4. Step 4: Simplify right side
    225,268.47x = 38,326,822,593.34
  5. Step 5: Solve for x
    x = 38,326,822,593.34/225,268.47
  6. Step 6: Final answer
    x = 170,138.42

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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.