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Finding the Fourth Proportional to 304,453.52, 420,139.22 and 166,631.78

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Solution

The fourth proportional to 304,453.52, 420,139.22 and 166,631.78 is: 229,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,453.52 : 420,139.22 = 166,631.78 : x
  2. Step 2: Convert to fraction form
    304,453.52/420,139.22 = 166,631.78/x
  3. Step 3: Cross multiply
    304,453.52x = 420,139.22 × 166,631.78
  4. Step 4: Simplify right side
    304,453.52x = 70,008,543,142.56
  5. Step 5: Solve for x
    x = 70,008,543,142.56/304,453.52
  6. Step 6: Final answer
    x = 229,948.22

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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.