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Finding the Fourth Proportional to 305,079, 421,009.14 and 185,847

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Solution

The fourth proportional to 305,079, 421,009.14 and 185,847 is: 256,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,079 : 421,009.14 = 185,847 : x
  2. Step 2: Convert to fraction form
    305,079/421,009.14 = 185,847/x
  3. Step 3: Cross multiply
    305,079x = 421,009.14 × 185,847
  4. Step 4: Simplify right side
    305,079x = 78,243,285,641.58
  5. Step 5: Solve for x
    x = 78,243,285,641.58/305,079
  6. Step 6: Final answer
    x = 256,468.93

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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.