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Finding the Fourth Proportional to 225,374.73, 311,007.51 and 123,398.34

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Solution

The fourth proportional to 225,374.73, 311,007.51 and 123,398.34 is: 170,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,374.73 : 311,007.51 = 123,398.34 : x
  2. Step 2: Convert to fraction form
    225,374.73/311,007.51 = 123,398.34/x
  3. Step 3: Cross multiply
    225,374.73x = 311,007.51 × 123,398.34
  4. Step 4: Simplify right side
    225,374.73x = 38,377,810,461.53
  5. Step 5: Solve for x
    x = 38,377,810,461.53/225,374.73
  6. Step 6: Final answer
    x = 170,284.44

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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.