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Finding the Fourth Proportional to 410,455.20, 615,744.36 and 144,168.78

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Solution

The fourth proportional to 410,455.20, 615,744.36 and 144,168.78 is: 216,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,455.20 : 615,744.36 = 144,168.78 : x
  2. Step 2: Convert to fraction form
    410,455.20/615,744.36 = 144,168.78/x
  3. Step 3: Cross multiply
    410,455.20x = 615,744.36 × 144,168.78
  4. Step 4: Simplify right side
    410,455.20x = 88,771,113,173.08
  5. Step 5: Solve for x
    x = 88,771,113,173.08/410,455.20
  6. Step 6: Final answer
    x = 216,274.79

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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.