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Finding the Fourth Proportional to 643,908.70, 965,863.04 and 223,184.58

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Solution

The fourth proportional to 643,908.70, 965,863.04 and 223,184.58 is: 334,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,908.70 : 965,863.04 = 223,184.58 : x
  2. Step 2: Convert to fraction form
    643,908.70/965,863.04 = 223,184.58/x
  3. Step 3: Cross multiply
    643,908.70x = 965,863.04 × 223,184.58
  4. Step 4: Simplify right side
    643,908.70x = 215,565,736,919.92
  5. Step 5: Solve for x
    x = 215,565,736,919.92/643,908.70
  6. Step 6: Final answer
    x = 334,776.87

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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.