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Finding the Fourth Proportional to 290,039.97, 400,249.11 and 160,970.97

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Solution

The fourth proportional to 290,039.97, 400,249.11 and 160,970.97 is: 222,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,039.97 : 400,249.11 = 160,970.97 : x
  2. Step 2: Convert to fraction form
    290,039.97/400,249.11 = 160,970.97/x
  3. Step 3: Cross multiply
    290,039.97x = 400,249.11 × 160,970.97
  4. Step 4: Simplify right side
    290,039.97x = 64,428,487,478.34
  5. Step 5: Solve for x
    x = 64,428,487,478.34/290,039.97
  6. Step 6: Final answer
    x = 222,136.58

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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.