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Finding the Fourth Proportional to 382,772.60, 527,678.72 and 269,243

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Solution

The fourth proportional to 382,772.60, 527,678.72 and 269,243 is: 371,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,772.60 : 527,678.72 = 269,243 : x
  2. Step 2: Convert to fraction form
    382,772.60/527,678.72 = 269,243/x
  3. Step 3: Cross multiply
    382,772.60x = 527,678.72 × 269,243
  4. Step 4: Simplify right side
    382,772.60x = 142,073,801,608.96
  5. Step 5: Solve for x
    x = 142,073,801,608.96/382,772.60
  6. Step 6: Final answer
    x = 371,170.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.