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Finding the Fourth Proportional to 312,239.76, 468,380.49 and 109,811.58

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Solution

The fourth proportional to 312,239.76, 468,380.49 and 109,811.58 is: 164,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,239.76 : 468,380.49 = 109,811.58 : x
  2. Step 2: Convert to fraction form
    312,239.76/468,380.49 = 109,811.58/x
  3. Step 3: Cross multiply
    312,239.76x = 468,380.49 × 109,811.58
  4. Step 4: Simplify right side
    312,239.76x = 51,433,601,648.07
  5. Step 5: Solve for x
    x = 51,433,601,648.07/312,239.76
  6. Step 6: Final answer
    x = 164,724.70

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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.