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Finding the Fourth Proportional to 377,121.45, 520,436.43 and 205,049.19

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Solution

The fourth proportional to 377,121.45, 520,436.43 and 205,049.19 is: 282,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,121.45 : 520,436.43 = 205,049.19 : x
  2. Step 2: Convert to fraction form
    377,121.45/520,436.43 = 205,049.19/x
  3. Step 3: Cross multiply
    377,121.45x = 520,436.43 × 205,049.19
  4. Step 4: Simplify right side
    377,121.45x = 106,715,068,417.99
  5. Step 5: Solve for x
    x = 106,715,068,417.99/377,121.45
  6. Step 6: Final answer
    x = 282,972.68

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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.