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Finding the Fourth Proportional to 304,961.15, 420,859.77 and 168,994.78

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Solution

The fourth proportional to 304,961.15, 420,859.77 and 168,994.78 is: 233,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,961.15 : 420,859.77 = 168,994.78 : x
  2. Step 2: Convert to fraction form
    304,961.15/420,859.77 = 168,994.78/x
  3. Step 3: Cross multiply
    304,961.15x = 420,859.77 × 168,994.78
  4. Step 4: Simplify right side
    304,961.15x = 71,123,104,242.00
  5. Step 5: Solve for x
    x = 71,123,104,242.00/304,961.15
  6. Step 6: Final answer
    x = 233,220.21

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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.