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Finding the Fourth Proportional to 329,299.50, 454,438.17 and 178,396.50

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Solution

The fourth proportional to 329,299.50, 454,438.17 and 178,396.50 is: 246,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,299.50 : 454,438.17 = 178,396.50 : x
  2. Step 2: Convert to fraction form
    329,299.50/454,438.17 = 178,396.50/x
  3. Step 3: Cross multiply
    329,299.50x = 454,438.17 × 178,396.50
  4. Step 4: Simplify right side
    329,299.50x = 81,070,178,994.41
  5. Step 5: Solve for x
    x = 81,070,178,994.41/329,299.50
  6. Step 6: Final answer
    x = 246,189.80

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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.