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Finding the Fourth Proportional to 565,361.09, 780,380.12 and 361,959.83

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Solution

The fourth proportional to 565,361.09, 780,380.12 and 361,959.83 is: 499,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,361.09 : 780,380.12 = 361,959.83 : x
  2. Step 2: Convert to fraction form
    565,361.09/780,380.12 = 361,959.83/x
  3. Step 3: Cross multiply
    565,361.09x = 780,380.12 × 361,959.83
  4. Step 4: Simplify right side
    565,361.09x = 282,466,258,195.66
  5. Step 5: Solve for x
    x = 282,466,258,195.66/565,361.09
  6. Step 6: Final answer
    x = 499,620.98

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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.