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Finding the Fourth Proportional to 407,138.28, 610,084.56 and 217,625.58

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Solution

The fourth proportional to 407,138.28, 610,084.56 and 217,625.58 is: 326,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,138.28 : 610,084.56 = 217,625.58 : x
  2. Step 2: Convert to fraction form
    407,138.28/610,084.56 = 217,625.58/x
  3. Step 3: Cross multiply
    407,138.28x = 610,084.56 × 217,625.58
  4. Step 4: Simplify right side
    407,138.28x = 132,770,006,219.05
  5. Step 5: Solve for x
    x = 132,770,006,219.05/407,138.28
  6. Step 6: Final answer
    x = 326,105.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.