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Finding the Fourth Proportional to 330,361.34, 495,711.50 and 161,878.50

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Solution

The fourth proportional to 330,361.34, 495,711.50 and 161,878.50 is: 242,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,361.34 : 495,711.50 = 161,878.50 : x
  2. Step 2: Convert to fraction form
    330,361.34/495,711.50 = 161,878.50/x
  3. Step 3: Cross multiply
    330,361.34x = 495,711.50 × 161,878.50
  4. Step 4: Simplify right side
    330,361.34x = 80,245,033,243.36
  5. Step 5: Solve for x
    x = 80,245,033,243.36/330,361.34
  6. Step 6: Final answer
    x = 242,900.80

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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.