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Finding the Fourth Proportional to 306,319.42, 422,658.41 and 178,970.41

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Solution

The fourth proportional to 306,319.42, 422,658.41 and 178,970.41 is: 246,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,319.42 : 422,658.41 = 178,970.41 : x
  2. Step 2: Convert to fraction form
    306,319.42/422,658.41 = 178,970.41/x
  3. Step 3: Cross multiply
    306,319.42x = 422,658.41 × 178,970.41
  4. Step 4: Simplify right side
    306,319.42x = 75,643,348,561.12
  5. Step 5: Solve for x
    x = 75,643,348,561.12/306,319.42
  6. Step 6: Final answer
    x = 246,942.71

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1.5x scale

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.