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Finding the Fourth Proportional to 410,252.80, 615,724.80 and 161,113.60

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Solution

The fourth proportional to 410,252.80, 615,724.80 and 161,113.60 is: 241,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,252.80 : 615,724.80 = 161,113.60 : x
  2. Step 2: Convert to fraction form
    410,252.80/615,724.80 = 161,113.60/x
  3. Step 3: Cross multiply
    410,252.80x = 615,724.80 × 161,113.60
  4. Step 4: Simplify right side
    410,252.80x = 99,201,639,137.28
  5. Step 5: Solve for x
    x = 99,201,639,137.28/410,252.80
  6. Step 6: Final answer
    x = 241,806.12

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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.