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Finding the Fourth Proportional to 303,105.06, 418,464.18 and 269,478

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Solution

The fourth proportional to 303,105.06, 418,464.18 and 269,478 is: 372,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,105.06 : 418,464.18 = 269,478 : x
  2. Step 2: Convert to fraction form
    303,105.06/418,464.18 = 269,478/x
  3. Step 3: Cross multiply
    303,105.06x = 418,464.18 × 269,478
  4. Step 4: Simplify right side
    303,105.06x = 112,766,890,298.04
  5. Step 5: Solve for x
    x = 112,766,890,298.04/303,105.06
  6. Step 6: Final answer
    x = 372,038.96

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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.