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Finding the Fourth Proportional to 297,287.82, 410,255.10 and 161,318.32

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Solution

The fourth proportional to 297,287.82, 410,255.10 and 161,318.32 is: 222,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,287.82 : 410,255.10 = 161,318.32 : x
  2. Step 2: Convert to fraction form
    297,287.82/410,255.10 = 161,318.32/x
  3. Step 3: Cross multiply
    297,287.82x = 410,255.10 × 161,318.32
  4. Step 4: Simplify right side
    297,287.82x = 66,181,662,477.79
  5. Step 5: Solve for x
    x = 66,181,662,477.79/297,287.82
  6. Step 6: Final answer
    x = 222,618.14

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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.