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Finding the Fourth Proportional to 331,663, 457,375.26 and 223,012.12

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Solution

The fourth proportional to 331,663, 457,375.26 and 223,012.12 is: 307,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,663 : 457,375.26 = 223,012.12 : x
  2. Step 2: Convert to fraction form
    331,663/457,375.26 = 223,012.12/x
  3. Step 3: Cross multiply
    331,663x = 457,375.26 × 223,012.12
  4. Step 4: Simplify right side
    331,663x = 102,000,226,368.15
  5. Step 5: Solve for x
    x = 102,000,226,368.15/331,663
  6. Step 6: Final answer
    x = 307,541.77

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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.