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Finding the Fourth Proportional to 409,150.50, 613,747.62 and 128,689.62

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Solution

The fourth proportional to 409,150.50, 613,747.62 and 128,689.62 is: 193,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,150.50 : 613,747.62 = 128,689.62 : x
  2. Step 2: Convert to fraction form
    409,150.50/613,747.62 = 128,689.62/x
  3. Step 3: Cross multiply
    409,150.50x = 613,747.62 × 128,689.62
  4. Step 4: Simplify right side
    409,150.50x = 78,982,947,993.70
  5. Step 5: Solve for x
    x = 78,982,947,993.70/409,150.50
  6. Step 6: Final answer
    x = 193,041.31

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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.