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Finding the Fourth Proportional to 306,140.53, 422,437.84 and 181,942.17

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Solution

The fourth proportional to 306,140.53, 422,437.84 and 181,942.17 is: 251,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,140.53 : 422,437.84 = 181,942.17 : x
  2. Step 2: Convert to fraction form
    306,140.53/422,437.84 = 181,942.17/x
  3. Step 3: Cross multiply
    306,140.53x = 422,437.84 × 181,942.17
  4. Step 4: Simplify right side
    306,140.53x = 76,859,257,431.07
  5. Step 5: Solve for x
    x = 76,859,257,431.07/306,140.53
  6. Step 6: Final answer
    x = 251,058.74

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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.