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Finding the Fourth Proportional to 305,691.06, 421,903.86 and 178,366.34

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Solution

The fourth proportional to 305,691.06, 421,903.86 and 178,366.34 is: 246,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,691.06 : 421,903.86 = 178,366.34 : x
  2. Step 2: Convert to fraction form
    305,691.06/421,903.86 = 178,366.34/x
  3. Step 3: Cross multiply
    305,691.06x = 421,903.86 × 178,366.34
  4. Step 4: Simplify right side
    305,691.06x = 75,253,447,340.07
  5. Step 5: Solve for x
    x = 75,253,447,340.07/305,691.06
  6. Step 6: Final answer
    x = 246,174.84

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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.