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Finding the Fourth Proportional to 643,876.40, 965,944.20 and 223,065.20

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Solution

The fourth proportional to 643,876.40, 965,944.20 and 223,065.20 is: 334,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,876.40 : 965,944.20 = 223,065.20 : x
  2. Step 2: Convert to fraction form
    643,876.40/965,944.20 = 223,065.20/x
  3. Step 3: Cross multiply
    643,876.40x = 965,944.20 × 223,065.20
  4. Step 4: Simplify right side
    643,876.40x = 215,468,536,161.84
  5. Step 5: Solve for x
    x = 215,468,536,161.84/643,876.40
  6. Step 6: Final answer
    x = 334,642.70

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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.