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Finding the Fourth Proportional to 418,970.78, 628,767.97 and 205,853.10

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Solution

The fourth proportional to 418,970.78, 628,767.97 and 205,853.10 is: 308,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,970.78 : 628,767.97 = 205,853.10 : x
  2. Step 2: Convert to fraction form
    418,970.78/628,767.97 = 205,853.10/x
  3. Step 3: Cross multiply
    418,970.78x = 628,767.97 × 205,853.10
  4. Step 4: Simplify right side
    418,970.78x = 129,433,832,932.69
  5. Step 5: Solve for x
    x = 129,433,832,932.69/418,970.78
  6. Step 6: Final answer
    x = 308,932.84

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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.