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Finding the Fourth Proportional to 471,489.82, 650,670.05 and 290,306.29

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Solution

The fourth proportional to 471,489.82, 650,670.05 and 290,306.29 is: 400,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,489.82 : 650,670.05 = 290,306.29 : x
  2. Step 2: Convert to fraction form
    471,489.82/650,670.05 = 290,306.29/x
  3. Step 3: Cross multiply
    471,489.82x = 650,670.05 × 290,306.29
  4. Step 4: Simplify right side
    471,489.82x = 188,893,608,229.62
  5. Step 5: Solve for x
    x = 188,893,608,229.62/471,489.82
  6. Step 6: Final answer
    x = 400,631.36

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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.