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Finding the Fourth Proportional to 306,137.66, 422,475.02 and 168,322.41

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Solution

The fourth proportional to 306,137.66, 422,475.02 and 168,322.41 is: 232,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,137.66 : 422,475.02 = 168,322.41 : x
  2. Step 2: Convert to fraction form
    306,137.66/422,475.02 = 168,322.41/x
  3. Step 3: Cross multiply
    306,137.66x = 422,475.02 × 168,322.41
  4. Step 4: Simplify right side
    306,137.66x = 71,112,013,952.00
  5. Step 5: Solve for x
    x = 71,112,013,952.00/306,137.66
  6. Step 6: Final answer
    x = 232,287.71

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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.