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Finding the Fourth Proportional to 306,357.16, 422,768.82 and 172,221.16

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Solution

The fourth proportional to 306,357.16, 422,768.82 and 172,221.16 is: 237,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,357.16 : 422,768.82 = 172,221.16 : x
  2. Step 2: Convert to fraction form
    306,357.16/422,768.82 = 172,221.16/x
  3. Step 3: Cross multiply
    306,357.16x = 422,768.82 × 172,221.16
  4. Step 4: Simplify right side
    306,357.16x = 72,809,736,592.23
  5. Step 5: Solve for x
    x = 72,809,736,592.23/306,357.16
  6. Step 6: Final answer
    x = 237,662.92

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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.