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Finding the Fourth Proportional to 305,447.76, 421,517.79 and 178,098.75

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Solution

The fourth proportional to 305,447.76, 421,517.79 and 178,098.75 is: 245,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,447.76 : 421,517.79 = 178,098.75 : x
  2. Step 2: Convert to fraction form
    305,447.76/421,517.79 = 178,098.75/x
  3. Step 3: Cross multiply
    305,447.76x = 421,517.79 × 178,098.75
  4. Step 4: Simplify right side
    305,447.76x = 75,071,791,501.76
  5. Step 5: Solve for x
    x = 75,071,791,501.76/305,447.76
  6. Step 6: Final answer
    x = 245,776.21

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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.