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Finding the Fourth Proportional to 308,770.92, 462,914.40 and 121,922.28

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Solution

The fourth proportional to 308,770.92, 462,914.40 and 121,922.28 is: 182,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,770.92 : 462,914.40 = 121,922.28 : x
  2. Step 2: Convert to fraction form
    308,770.92/462,914.40 = 121,922.28/x
  3. Step 3: Cross multiply
    308,770.92x = 462,914.40 × 121,922.28
  4. Step 4: Simplify right side
    308,770.92x = 56,439,579,092.83
  5. Step 5: Solve for x
    x = 56,439,579,092.83/308,770.92
  6. Step 6: Final answer
    x = 182,787.87

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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.