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Finding the Fourth Proportional to 288,624.36, 398,319.30 and 161,310.12

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Solution

The fourth proportional to 288,624.36, 398,319.30 and 161,310.12 is: 222,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,624.36 : 398,319.30 = 161,310.12 : x
  2. Step 2: Convert to fraction form
    288,624.36/398,319.30 = 161,310.12/x
  3. Step 3: Cross multiply
    288,624.36x = 398,319.30 × 161,310.12
  4. Step 4: Simplify right side
    288,624.36x = 64,252,934,081.32
  5. Step 5: Solve for x
    x = 64,252,934,081.32/288,624.36
  6. Step 6: Final answer
    x = 222,617.85

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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.