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Finding the Fourth Proportional to 297,079.94, 409,967.52 and 161,116.88

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Solution

The fourth proportional to 297,079.94, 409,967.52 and 161,116.88 is: 222,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,079.94 : 409,967.52 = 161,116.88 : x
  2. Step 2: Convert to fraction form
    297,079.94/409,967.52 = 161,116.88/x
  3. Step 3: Cross multiply
    297,079.94x = 409,967.52 × 161,116.88
  4. Step 4: Simplify right side
    297,079.94x = 66,052,688,748.66
  5. Step 5: Solve for x
    x = 66,052,688,748.66/297,079.94
  6. Step 6: Final answer
    x = 222,339.78

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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.