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Finding the Fourth Proportional to 377,794.50, 521,356.41 and 208,028.22

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Solution

The fourth proportional to 377,794.50, 521,356.41 and 208,028.22 is: 287,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,794.50 : 521,356.41 = 208,028.22 : x
  2. Step 2: Convert to fraction form
    377,794.50/521,356.41 = 208,028.22/x
  3. Step 3: Cross multiply
    377,794.50x = 521,356.41 × 208,028.22
  4. Step 4: Simplify right side
    377,794.50x = 108,456,845,957.89
  5. Step 5: Solve for x
    x = 108,456,845,957.89/377,794.50
  6. Step 6: Final answer
    x = 287,078.94

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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.