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Finding the Fourth Proportional to 290,499.48, 400,878.54 and 161,445.96

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Solution

The fourth proportional to 290,499.48, 400,878.54 and 161,445.96 is: 222,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,499.48 : 400,878.54 = 161,445.96 : x
  2. Step 2: Convert to fraction form
    290,499.48/400,878.54 = 161,445.96/x
  3. Step 3: Cross multiply
    290,499.48x = 400,878.54 × 161,445.96
  4. Step 4: Simplify right side
    290,499.48x = 64,720,220,733.70
  5. Step 5: Solve for x
    x = 64,720,220,733.70/290,499.48
  6. Step 6: Final answer
    x = 222,789.45

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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.