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Finding the Fourth Proportional to 377,470.97, 520,894.26 and 205,389.61

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Solution

The fourth proportional to 377,470.97, 520,894.26 and 205,389.61 is: 283,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,470.97 : 520,894.26 = 205,389.61 : x
  2. Step 2: Convert to fraction form
    377,470.97/520,894.26 = 205,389.61/x
  3. Step 3: Cross multiply
    377,470.97x = 520,894.26 × 205,389.61
  4. Step 4: Simplify right side
    377,470.97x = 106,986,268,912.64
  5. Step 5: Solve for x
    x = 106,986,268,912.64/377,470.97
  6. Step 6: Final answer
    x = 283,429.13

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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.