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Finding the Fourth Proportional to 410,166.10, 615,346.35 and 210,517.30

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Solution

The fourth proportional to 410,166.10, 615,346.35 and 210,517.30 is: 315,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,166.10 : 615,346.35 = 210,517.30 : x
  2. Step 2: Convert to fraction form
    410,166.10/615,346.35 = 210,517.30/x
  3. Step 3: Cross multiply
    410,166.10x = 615,346.35 × 210,517.30
  4. Step 4: Simplify right side
    410,166.10x = 129,541,052,166.86
  5. Step 5: Solve for x
    x = 129,541,052,166.86/410,166.10
  6. Step 6: Final answer
    x = 315,825.84

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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.