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Finding the Fourth Proportional to 290,034.72, 400,241.88 and 160,965.70

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Solution

The fourth proportional to 290,034.72, 400,241.88 and 160,965.70 is: 222,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,034.72 : 400,241.88 = 160,965.70 : x
  2. Step 2: Convert to fraction form
    290,034.72/400,241.88 = 160,965.70/x
  3. Step 3: Cross multiply
    290,034.72x = 400,241.88 × 160,965.70
  4. Step 4: Simplify right side
    290,034.72x = 64,425,213,382.91
  5. Step 5: Solve for x
    x = 64,425,213,382.91/290,034.72
  6. Step 6: Final answer
    x = 222,129.31

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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.