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Finding the Fourth Proportional to 306,435.42, 422,850.51 and 191,691.90

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Solution

The fourth proportional to 306,435.42, 422,850.51 and 191,691.90 is: 264,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,435.42 : 422,850.51 = 191,691.90 : x
  2. Step 2: Convert to fraction form
    306,435.42/422,850.51 = 191,691.90/x
  3. Step 3: Cross multiply
    306,435.42x = 422,850.51 × 191,691.90
  4. Step 4: Simplify right side
    306,435.42x = 81,057,017,677.87
  5. Step 5: Solve for x
    x = 81,057,017,677.87/306,435.42
  6. Step 6: Final answer
    x = 264,515.82

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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.