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Finding the Fourth Proportional to 409,993.92, 615,079.98 and 125,685.54

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Solution

The fourth proportional to 409,993.92, 615,079.98 and 125,685.54 is: 188,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,993.92 : 615,079.98 = 125,685.54 : x
  2. Step 2: Convert to fraction form
    409,993.92/615,079.98 = 125,685.54/x
  3. Step 3: Cross multiply
    409,993.92x = 615,079.98 × 125,685.54
  4. Step 4: Simplify right side
    409,993.92x = 77,306,659,429.49
  5. Step 5: Solve for x
    x = 77,306,659,429.49/409,993.92
  6. Step 6: Final answer
    x = 188,555.62

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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.