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Finding the Fourth Proportional to 415,522.20, 623,315.70 and 178,872.60

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Solution

The fourth proportional to 415,522.20, 623,315.70 and 178,872.60 is: 268,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,522.20 : 623,315.70 = 178,872.60 : x
  2. Step 2: Convert to fraction form
    415,522.20/623,315.70 = 178,872.60/x
  3. Step 3: Cross multiply
    415,522.20x = 623,315.70 × 178,872.60
  4. Step 4: Simplify right side
    415,522.20x = 111,494,099,879.82
  5. Step 5: Solve for x
    x = 111,494,099,879.82/415,522.20
  6. Step 6: Final answer
    x = 268,322.85

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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.