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Finding the Fourth Proportional to 297,378.42, 410,371.23 and 161,409.48

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Solution

The fourth proportional to 297,378.42, 410,371.23 and 161,409.48 is: 222,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,378.42 : 410,371.23 = 161,409.48 : x
  2. Step 2: Convert to fraction form
    297,378.42/410,371.23 = 161,409.48/x
  3. Step 3: Cross multiply
    297,378.42x = 410,371.23 × 161,409.48
  4. Step 4: Simplify right side
    297,378.42x = 66,237,805,192.93
  5. Step 5: Solve for x
    x = 66,237,805,192.93/297,378.42
  6. Step 6: Final answer
    x = 222,739.11

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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.