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Finding the Fourth Proportional to 565,361.11, 780,380.13 and 361,959.85

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Solution

The fourth proportional to 565,361.11, 780,380.13 and 361,959.85 is: 499,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,361.11 : 780,380.13 = 361,959.85 : x
  2. Step 2: Convert to fraction form
    565,361.11/780,380.13 = 361,959.85/x
  3. Step 3: Cross multiply
    565,361.11x = 780,380.13 × 361,959.85
  4. Step 4: Simplify right side
    565,361.11x = 282,466,274,797.78
  5. Step 5: Solve for x
    x = 282,466,274,797.78/565,361.11
  6. Step 6: Final answer
    x = 499,620.99

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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.