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Finding the Fourth Proportional to 305,784.88, 422,194.23 and 191,115.06

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Solution

The fourth proportional to 305,784.88, 422,194.23 and 191,115.06 is: 263,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,784.88 : 422,194.23 = 191,115.06 : x
  2. Step 2: Convert to fraction form
    305,784.88/422,194.23 = 191,115.06/x
  3. Step 3: Cross multiply
    305,784.88x = 422,194.23 × 191,115.06
  4. Step 4: Simplify right side
    305,784.88x = 80,687,675,598.10
  5. Step 5: Solve for x
    x = 80,687,675,598.10/305,784.88
  6. Step 6: Final answer
    x = 263,870.72

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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.