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Finding the Fourth Proportional to 290,215.50, 400,522.55 and 161,178.86

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Solution

The fourth proportional to 290,215.50, 400,522.55 and 161,178.86 is: 222,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,215.50 : 400,522.55 = 161,178.86 : x
  2. Step 2: Convert to fraction form
    290,215.50/400,522.55 = 161,178.86/x
  3. Step 3: Cross multiply
    290,215.50x = 400,522.55 × 161,178.86
  4. Step 4: Simplify right side
    290,215.50x = 64,555,765,204.79
  5. Step 5: Solve for x
    x = 64,555,765,204.79/290,215.50
  6. Step 6: Final answer
    x = 222,440.79

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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.