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Finding the Fourth Proportional to 305,857.20, 422,068.65 and 169,899.90

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Solution

The fourth proportional to 305,857.20, 422,068.65 and 169,899.90 is: 234,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,857.20 : 422,068.65 = 169,899.90 : x
  2. Step 2: Convert to fraction form
    305,857.20/422,068.65 = 169,899.90/x
  3. Step 3: Cross multiply
    305,857.20x = 422,068.65 × 169,899.90
  4. Step 4: Simplify right side
    305,857.20x = 71,709,421,428.14
  5. Step 5: Solve for x
    x = 71,709,421,428.14/305,857.20
  6. Step 6: Final answer
    x = 234,453.93

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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.