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Finding the Fourth Proportional to 269,463.60, 403,936.20 and 209,458.80

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Solution

The fourth proportional to 269,463.60, 403,936.20 and 209,458.80 is: 313,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,463.60 : 403,936.20 = 209,458.80 : x
  2. Step 2: Convert to fraction form
    269,463.60/403,936.20 = 209,458.80/x
  3. Step 3: Cross multiply
    269,463.60x = 403,936.20 × 209,458.80
  4. Step 4: Simplify right side
    269,463.60x = 84,607,991,728.56
  5. Step 5: Solve for x
    x = 84,607,991,728.56/269,463.60
  6. Step 6: Final answer
    x = 313,986.72

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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.