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Finding the Fourth Proportional to 410,647.20, 615,963.51 and 210,850.17

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Solution

The fourth proportional to 410,647.20, 615,963.51 and 210,850.17 is: 316,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,647.20 : 615,963.51 = 210,850.17 : x
  2. Step 2: Convert to fraction form
    410,647.20/615,963.51 = 210,850.17/x
  3. Step 3: Cross multiply
    410,647.20x = 615,963.51 × 210,850.17
  4. Step 4: Simplify right side
    410,647.20x = 129,876,010,797.30
  5. Step 5: Solve for x
    x = 129,876,010,797.30/410,647.20
  6. Step 6: Final answer
    x = 316,271.51

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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.