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Finding the Fourth Proportional to 366,612.12, 505,957.32 and 213,642

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Solution

The fourth proportional to 366,612.12, 505,957.32 and 213,642 is: 294,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,612.12 : 505,957.32 = 213,642 : x
  2. Step 2: Convert to fraction form
    366,612.12/505,957.32 = 213,642/x
  3. Step 3: Cross multiply
    366,612.12x = 505,957.32 × 213,642
  4. Step 4: Simplify right side
    366,612.12x = 108,093,733,759.44
  5. Step 5: Solve for x
    x = 108,093,733,759.44/366,612.12
  6. Step 6: Final answer
    x = 294,844.95

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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.