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Finding the Fourth Proportional to 330,441.60, 495,315.84 and 161,729.28

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Solution

The fourth proportional to 330,441.60, 495,315.84 and 161,729.28 is: 242,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,441.60 : 495,315.84 = 161,729.28 : x
  2. Step 2: Convert to fraction form
    330,441.60/495,315.84 = 161,729.28/x
  3. Step 3: Cross multiply
    330,441.60x = 495,315.84 × 161,729.28
  4. Step 4: Simplify right side
    330,441.60x = 80,107,074,175.80
  5. Step 5: Solve for x
    x = 80,107,074,175.80/330,441.60
  6. Step 6: Final answer
    x = 242,424.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.