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Finding the Fourth Proportional to 290,311.73, 400,655.44 and 161,275.30

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Solution

The fourth proportional to 290,311.73, 400,655.44 and 161,275.30 is: 222,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,311.73 : 400,655.44 = 161,275.30 : x
  2. Step 2: Convert to fraction form
    290,311.73/400,655.44 = 161,275.30/x
  3. Step 3: Cross multiply
    290,311.73x = 400,655.44 × 161,275.30
  4. Step 4: Simplify right side
    290,311.73x = 64,615,824,279.35
  5. Step 5: Solve for x
    x = 64,615,824,279.35/290,311.73
  6. Step 6: Final answer
    x = 222,573.94

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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.