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Finding the Fourth Proportional to 305,594.25, 421,746.76 and 178,310.85

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Solution

The fourth proportional to 305,594.25, 421,746.76 and 178,310.85 is: 246,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,594.25 : 421,746.76 = 178,310.85 : x
  2. Step 2: Convert to fraction form
    305,594.25/421,746.76 = 178,310.85/x
  3. Step 3: Cross multiply
    305,594.25x = 421,746.76 × 178,310.85
  4. Step 4: Simplify right side
    305,594.25x = 75,202,023,260.35
  5. Step 5: Solve for x
    x = 75,202,023,260.35/305,594.25
  6. Step 6: Final answer
    x = 246,084.55

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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.