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Finding the Fourth Proportional to 306,141.78, 422,439.57 and 181,943.42

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Solution

The fourth proportional to 306,141.78, 422,439.57 and 181,943.42 is: 251,060.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,141.78 : 422,439.57 = 181,943.42 : x
  2. Step 2: Convert to fraction form
    306,141.78/422,439.57 = 181,943.42/x
  3. Step 3: Cross multiply
    306,141.78x = 422,439.57 × 181,943.42
  4. Step 4: Simplify right side
    306,141.78x = 76,860,100,109.13
  5. Step 5: Solve for x
    x = 76,860,100,109.13/306,141.78
  6. Step 6: Final answer
    x = 251,060.47

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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.