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Finding the Fourth Proportional to 366,420.11, 505,653.84 and 205,274.12

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Solution

The fourth proportional to 366,420.11, 505,653.84 and 205,274.12 is: 283,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,420.11 : 505,653.84 = 205,274.12 : x
  2. Step 2: Convert to fraction form
    366,420.11/505,653.84 = 205,274.12/x
  3. Step 3: Cross multiply
    366,420.11x = 505,653.84 × 205,274.12
  4. Step 4: Simplify right side
    366,420.11x = 103,797,644,502.35
  5. Step 5: Solve for x
    x = 103,797,644,502.35/366,420.11
  6. Step 6: Final answer
    x = 283,274.97

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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.