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Finding the Fourth Proportional to 306,495.82, 422,953.62 and 168,661.90

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Solution

The fourth proportional to 306,495.82, 422,953.62 and 168,661.90 is: 232,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,495.82 : 422,953.62 = 168,661.90 : x
  2. Step 2: Convert to fraction form
    306,495.82/422,953.62 = 168,661.90/x
  3. Step 3: Cross multiply
    306,495.82x = 422,953.62 × 168,661.90
  4. Step 4: Simplify right side
    306,495.82x = 71,336,161,161.08
  5. Step 5: Solve for x
    x = 71,336,161,161.08/306,495.82
  6. Step 6: Final answer
    x = 232,747.58

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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.