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Finding the Fourth Proportional to 305,068.14, 457,573.05 and 186,678.54

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Solution

The fourth proportional to 305,068.14, 457,573.05 and 186,678.54 is: 279,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,068.14 : 457,573.05 = 186,678.54 : x
  2. Step 2: Convert to fraction form
    305,068.14/457,573.05 = 186,678.54/x
  3. Step 3: Cross multiply
    305,068.14x = 457,573.05 × 186,678.54
  4. Step 4: Simplify right side
    305,068.14x = 85,419,068,917.35
  5. Step 5: Solve for x
    x = 85,419,068,917.35/305,068.14
  6. Step 6: Final answer
    x = 279,999.97

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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.