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Finding the Fourth Proportional to 306,790.94, 422,975.72 and 251,394.33

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Solution

The fourth proportional to 306,790.94, 422,975.72 and 251,394.33 is: 346,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,790.94 : 422,975.72 = 251,394.33 : x
  2. Step 2: Convert to fraction form
    306,790.94/422,975.72 = 251,394.33/x
  3. Step 3: Cross multiply
    306,790.94x = 422,975.72 × 251,394.33
  4. Step 4: Simplify right side
    306,790.94x = 106,333,699,950.31
  5. Step 5: Solve for x
    x = 106,333,699,950.31/306,790.94
  6. Step 6: Final answer
    x = 346,599.87

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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.