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Finding the Fourth Proportional to 252,573.94, 378,659.72 and 145,836.86

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Solution

The fourth proportional to 252,573.94, 378,659.72 and 145,836.86 is: 218,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,573.94 : 378,659.72 = 145,836.86 : x
  2. Step 2: Convert to fraction form
    252,573.94/378,659.72 = 145,836.86/x
  3. Step 3: Cross multiply
    252,573.94x = 378,659.72 × 145,836.86
  4. Step 4: Simplify right side
    252,573.94x = 55,222,543,044.57
  5. Step 5: Solve for x
    x = 55,222,543,044.57/252,573.94
  6. Step 6: Final answer
    x = 218,639.12

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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.