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Finding the Fourth Proportional to 306,348.39, 422,753.40 and 166,643.37

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Solution

The fourth proportional to 306,348.39, 422,753.40 and 166,643.37 is: 229,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,348.39 : 422,753.40 = 166,643.37 : x
  2. Step 2: Convert to fraction form
    306,348.39/422,753.40 = 166,643.37/x
  3. Step 3: Cross multiply
    306,348.39x = 422,753.40 × 166,643.37
  4. Step 4: Simplify right side
    306,348.39x = 70,449,051,254.96
  5. Step 5: Solve for x
    x = 70,449,051,254.96/306,348.39
  6. Step 6: Final answer
    x = 229,963.84

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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.