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Finding the Fourth Proportional to 442,057.70, 663,115.71 and 161,771.78

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Solution

The fourth proportional to 442,057.70, 663,115.71 and 161,771.78 is: 242,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,057.70 : 663,115.71 = 161,771.78 : x
  2. Step 2: Convert to fraction form
    442,057.70/663,115.71 = 161,771.78/x
  3. Step 3: Cross multiply
    442,057.70x = 663,115.71 × 161,771.78
  4. Step 4: Simplify right side
    442,057.70x = 107,273,411,017.10
  5. Step 5: Solve for x
    x = 107,273,411,017.10/442,057.70
  6. Step 6: Final answer
    x = 242,668.34

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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.