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Finding the Fourth Proportional to 403,093.86, 556,268.88 and 221,817.48

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Solution

The fourth proportional to 403,093.86, 556,268.88 and 221,817.48 is: 306,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,093.86 : 556,268.88 = 221,817.48 : x
  2. Step 2: Convert to fraction form
    403,093.86/556,268.88 = 221,817.48/x
  3. Step 3: Cross multiply
    403,093.86x = 556,268.88 × 221,817.48
  4. Step 4: Simplify right side
    403,093.86x = 123,390,161,164.02
  5. Step 5: Solve for x
    x = 123,390,161,164.02/403,093.86
  6. Step 6: Final answer
    x = 306,107.77

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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.