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Finding the Fourth Proportional to 290,057.32, 400,303.22 and 161,007.92

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Solution

The fourth proportional to 290,057.32, 400,303.22 and 161,007.92 is: 222,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,057.32 : 400,303.22 = 161,007.92 : x
  2. Step 2: Convert to fraction form
    290,057.32/400,303.22 = 161,007.92/x
  3. Step 3: Cross multiply
    290,057.32x = 400,303.22 × 161,007.92
  4. Step 4: Simplify right side
    290,057.32x = 64,451,987,516.08
  5. Step 5: Solve for x
    x = 64,451,987,516.08/290,057.32
  6. Step 6: Final answer
    x = 222,204.31

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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.