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Finding the Fourth Proportional to 410,119.20, 615,351.60 and 223,264.80

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Solution

The fourth proportional to 410,119.20, 615,351.60 and 223,264.80 is: 334,991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,119.20 : 615,351.60 = 223,264.80 : x
  2. Step 2: Convert to fraction form
    410,119.20/615,351.60 = 223,264.80/x
  3. Step 3: Cross multiply
    410,119.20x = 615,351.60 × 223,264.80
  4. Step 4: Simplify right side
    410,119.20x = 137,386,351,903.68
  5. Step 5: Solve for x
    x = 137,386,351,903.68/410,119.20
  6. Step 6: Final answer
    x = 334,991.27

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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.