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Finding the Fourth Proportional to 377,847.47, 521,448.82 and 214,515.43

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Solution

The fourth proportional to 377,847.47, 521,448.82 and 214,515.43 is: 296,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,847.47 : 521,448.82 = 214,515.43 : x
  2. Step 2: Convert to fraction form
    377,847.47/521,448.82 = 214,515.43/x
  3. Step 3: Cross multiply
    377,847.47x = 521,448.82 × 214,515.43
  4. Step 4: Simplify right side
    377,847.47x = 111,858,816,005.38
  5. Step 5: Solve for x
    x = 111,858,816,005.38/377,847.47
  6. Step 6: Final answer
    x = 296,042.25

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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.