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Finding the Fourth Proportional to 377,866, 521,455.20 and 208,099.84

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Solution

The fourth proportional to 377,866, 521,455.20 and 208,099.84 is: 287,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,866 : 521,455.20 = 208,099.84 : x
  2. Step 2: Convert to fraction form
    377,866/521,455.20 = 208,099.84/x
  3. Step 3: Cross multiply
    377,866x = 521,455.20 × 208,099.84
  4. Step 4: Simplify right side
    377,866x = 108,514,743,687.17
  5. Step 5: Solve for x
    x = 108,514,743,687.17/377,866
  6. Step 6: Final answer
    x = 287,177.85

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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.