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Finding the Fourth Proportional to 410,517.94, 615,954.32 and 220,756.52

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Solution

The fourth proportional to 410,517.94, 615,954.32 and 220,756.52 is: 331,230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,517.94 : 615,954.32 = 220,756.52 : x
  2. Step 2: Convert to fraction form
    410,517.94/615,954.32 = 220,756.52/x
  3. Step 3: Cross multiply
    410,517.94x = 615,954.32 × 220,756.52
  4. Step 4: Simplify right side
    410,517.94x = 135,975,932,162.17
  5. Step 5: Solve for x
    x = 135,975,932,162.17/410,517.94
  6. Step 6: Final answer
    x = 331,230.18

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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.