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Finding the Fourth Proportional to 208,604.40, 313,562.70 and 204,667.80

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Solution

The fourth proportional to 208,604.40, 313,562.70 and 204,667.80 is: 307,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,604.40 : 313,562.70 = 204,667.80 : x
  2. Step 2: Convert to fraction form
    208,604.40/313,562.70 = 204,667.80/x
  3. Step 3: Cross multiply
    208,604.40x = 313,562.70 × 204,667.80
  4. Step 4: Simplify right side
    208,604.40x = 64,176,187,971.06
  5. Step 5: Solve for x
    x = 64,176,187,971.06/208,604.40
  6. Step 6: Final answer
    x = 307,645.42

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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.