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Finding the Fourth Proportional to 377,471.97, 520,895.64 and 205,390.61

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Solution

The fourth proportional to 377,471.97, 520,895.64 and 205,390.61 is: 283,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,471.97 : 520,895.64 = 205,390.61 : x
  2. Step 2: Convert to fraction form
    377,471.97/520,895.64 = 205,390.61/x
  3. Step 3: Cross multiply
    377,471.97x = 520,895.64 × 205,390.61
  4. Step 4: Simplify right side
    377,471.97x = 106,987,073,245.94
  5. Step 5: Solve for x
    x = 106,987,073,245.94/377,471.97
  6. Step 6: Final answer
    x = 283,430.51

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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.