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Finding the Fourth Proportional to 290,781.60, 401,276.40 and 161,721.20

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Solution

The fourth proportional to 290,781.60, 401,276.40 and 161,721.20 is: 223,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,781.60 : 401,276.40 = 161,721.20 : x
  2. Step 2: Convert to fraction form
    290,781.60/401,276.40 = 161,721.20/x
  3. Step 3: Cross multiply
    290,781.60x = 401,276.40 × 161,721.20
  4. Step 4: Simplify right side
    290,781.60x = 64,894,900,939.68
  5. Step 5: Solve for x
    x = 64,894,900,939.68/290,781.60
  6. Step 6: Final answer
    x = 223,174.03

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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.