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Finding the Fourth Proportional to 290,537.87, 400,952.57 and 161,478.90

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Solution

The fourth proportional to 290,537.87, 400,952.57 and 161,478.90 is: 222,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,537.87 : 400,952.57 = 161,478.90 : x
  2. Step 2: Convert to fraction form
    290,537.87/400,952.57 = 161,478.90/x
  3. Step 3: Cross multiply
    290,537.87x = 400,952.57 × 161,478.90
  4. Step 4: Simplify right side
    290,537.87x = 64,745,379,148.38
  5. Step 5: Solve for x
    x = 64,745,379,148.38/290,537.87
  6. Step 6: Final answer
    x = 222,846.61

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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.