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Finding the Fourth Proportional to 304,961.94, 420,813.30 and 168,961.92

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Solution

The fourth proportional to 304,961.94, 420,813.30 and 168,961.92 is: 233,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,961.94 : 420,813.30 = 168,961.92 : x
  2. Step 2: Convert to fraction form
    304,961.94/420,813.30 = 168,961.92/x
  3. Step 3: Cross multiply
    304,961.94x = 420,813.30 × 168,961.92
  4. Step 4: Simplify right side
    304,961.94x = 71,101,423,129.54
  5. Step 5: Solve for x
    x = 71,101,423,129.54/304,961.94
  6. Step 6: Final answer
    x = 233,148.51

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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.