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Finding the Fourth Proportional to 290,395.40, 400,765.56 and 161,349.44

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Solution

The fourth proportional to 290,395.40, 400,765.56 and 161,349.44 is: 222,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,395.40 : 400,765.56 = 161,349.44 : x
  2. Step 2: Convert to fraction form
    290,395.40/400,765.56 = 161,349.44/x
  3. Step 3: Cross multiply
    290,395.40x = 400,765.56 × 161,349.44
  4. Step 4: Simplify right side
    290,395.40x = 64,663,298,677.29
  5. Step 5: Solve for x
    x = 64,663,298,677.29/290,395.40
  6. Step 6: Final answer
    x = 222,673.29

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1.5x scale

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.