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Finding the Fourth Proportional to 643,582.20, 965,516.82 and 211,318.92

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Solution

The fourth proportional to 643,582.20, 965,516.82 and 211,318.92 is: 317,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,582.20 : 965,516.82 = 211,318.92 : x
  2. Step 2: Convert to fraction form
    643,582.20/965,516.82 = 211,318.92/x
  3. Step 3: Cross multiply
    643,582.20x = 965,516.82 × 211,318.92
  4. Step 4: Simplify right side
    643,582.20x = 204,031,971,644.23
  5. Step 5: Solve for x
    x = 204,031,971,644.23/643,582.20
  6. Step 6: Final answer
    x = 317,025.50

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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.