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Finding the Fourth Proportional to 225,374.50, 311,007.16 and 123,398.09

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Solution

The fourth proportional to 225,374.50, 311,007.16 and 123,398.09 is: 170,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,374.50 : 311,007.16 = 123,398.09 : x
  2. Step 2: Convert to fraction form
    225,374.50/311,007.16 = 123,398.09/x
  3. Step 3: Cross multiply
    225,374.50x = 311,007.16 × 123,398.09
  4. Step 4: Simplify right side
    225,374.50x = 38,377,689,520.32
  5. Step 5: Solve for x
    x = 38,377,689,520.32/225,374.50
  6. Step 6: Final answer
    x = 170,284.08

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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.