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Finding the Fourth Proportional to 410,143.20, 615,387.60 and 223,288.80

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Solution

The fourth proportional to 410,143.20, 615,387.60 and 223,288.80 is: 335,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,143.20 : 615,387.60 = 223,288.80 : x
  2. Step 2: Convert to fraction form
    410,143.20/615,387.60 = 223,288.80/x
  3. Step 3: Cross multiply
    410,143.20x = 615,387.60 × 223,288.80
  4. Step 4: Simplify right side
    410,143.20x = 137,409,158,738.88
  5. Step 5: Solve for x
    x = 137,409,158,738.88/410,143.20
  6. Step 6: Final answer
    x = 335,027.28

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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.