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Finding the Fourth Proportional to 643,878.12, 965,225.88 and 222,859.56

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Solution

The fourth proportional to 643,878.12, 965,225.88 and 222,859.56 is: 334,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,878.12 : 965,225.88 = 222,859.56 : x
  2. Step 2: Convert to fraction form
    643,878.12/965,225.88 = 222,859.56/x
  3. Step 3: Cross multiply
    643,878.12x = 965,225.88 × 222,859.56
  4. Step 4: Simplify right side
    643,878.12x = 215,109,814,917.41
  5. Step 5: Solve for x
    x = 215,109,814,917.41/643,878.12
  6. Step 6: Final answer
    x = 334,084.68

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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.