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Finding the Fourth Proportional to 290,033.80, 400,249.05 and 160,981.22

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Solution

The fourth proportional to 290,033.80, 400,249.05 and 160,981.22 is: 222,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,033.80 : 400,249.05 = 160,981.22 : x
  2. Step 2: Convert to fraction form
    290,033.80/400,249.05 = 160,981.22/x
  3. Step 3: Cross multiply
    290,033.80x = 400,249.05 × 160,981.22
  4. Step 4: Simplify right side
    290,033.80x = 64,432,580,769.78
  5. Step 5: Solve for x
    x = 64,432,580,769.78/290,033.80
  6. Step 6: Final answer
    x = 222,155.42

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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.