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Finding the Fourth Proportional to 322,138.94, 444,557.76 and 178,912.40

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Solution

The fourth proportional to 322,138.94, 444,557.76 and 178,912.40 is: 246,902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,138.94 : 444,557.76 = 178,912.40 : x
  2. Step 2: Convert to fraction form
    322,138.94/444,557.76 = 178,912.40/x
  3. Step 3: Cross multiply
    322,138.94x = 444,557.76 × 178,912.40
  4. Step 4: Simplify right side
    322,138.94x = 79,536,895,780.22
  5. Step 5: Solve for x
    x = 79,536,895,780.22/322,138.94
  6. Step 6: Final answer
    x = 246,902.46

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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.