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Finding the Fourth Proportional to 306,493.27, 459,735.29 and 137,894.54

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Solution

The fourth proportional to 306,493.27, 459,735.29 and 137,894.54 is: 206,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,493.27 : 459,735.29 = 137,894.54 : x
  2. Step 2: Convert to fraction form
    306,493.27/459,735.29 = 137,894.54/x
  3. Step 3: Cross multiply
    306,493.27x = 459,735.29 × 137,894.54
  4. Step 4: Simplify right side
    306,493.27x = 63,394,985,646.84
  5. Step 5: Solve for x
    x = 63,394,985,646.84/306,493.27
  6. Step 6: Final answer
    x = 206,839.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.