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Finding the Fourth Proportional to 491,452.66, 737,178.45 and 154,522.77

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Solution

The fourth proportional to 491,452.66, 737,178.45 and 154,522.77 is: 231,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,452.66 : 737,178.45 = 154,522.77 : x
  2. Step 2: Convert to fraction form
    491,452.66/737,178.45 = 154,522.77/x
  3. Step 3: Cross multiply
    491,452.66x = 737,178.45 × 154,522.77
  4. Step 4: Simplify right side
    491,452.66x = 113,910,856,078.31
  5. Step 5: Solve for x
    x = 113,910,856,078.31/491,452.66
  6. Step 6: Final answer
    x = 231,783.99

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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.