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Finding the Fourth Proportional to 643,590.39, 965,529.09 and 211,327.11

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Solution

The fourth proportional to 643,590.39, 965,529.09 and 211,327.11 is: 317,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,590.39 : 965,529.09 = 211,327.11 : x
  2. Step 2: Convert to fraction form
    643,590.39/965,529.09 = 211,327.11/x
  3. Step 3: Cross multiply
    643,590.39x = 965,529.09 × 211,327.11
  4. Step 4: Simplify right side
    643,590.39x = 204,042,472,210.63
  5. Step 5: Solve for x
    x = 204,042,472,210.63/643,590.39
  6. Step 6: Final answer
    x = 317,037.79

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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.