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Finding the Fourth Proportional to 418,846.32, 627,812.52 and 205,760.88

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Solution

The fourth proportional to 418,846.32, 627,812.52 and 205,760.88 is: 308,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,846.32 : 627,812.52 = 205,760.88 : x
  2. Step 2: Convert to fraction form
    418,846.32/627,812.52 = 205,760.88/x
  3. Step 3: Cross multiply
    418,846.32x = 627,812.52 × 205,760.88
  4. Step 4: Simplify right side
    418,846.32x = 129,179,256,590.22
  5. Step 5: Solve for x
    x = 129,179,256,590.22/418,846.32
  6. Step 6: Final answer
    x = 308,416.84

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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.