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Finding the Fourth Proportional to 297,406.91, 410,409.45 and 161,435.66

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Solution

The fourth proportional to 297,406.91, 410,409.45 and 161,435.66 is: 222,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,406.91 : 410,409.45 = 161,435.66 : x
  2. Step 2: Convert to fraction form
    297,406.91/410,409.45 = 161,435.66/x
  3. Step 3: Cross multiply
    297,406.91x = 410,409.45 × 161,435.66
  4. Step 4: Simplify right side
    297,406.91x = 66,254,718,378.94
  5. Step 5: Solve for x
    x = 66,254,718,378.94/297,406.91
  6. Step 6: Final answer
    x = 222,774.64

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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.