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Finding the Fourth Proportional to 257,852.16, 386,553.60 and 207,843.84

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Solution

The fourth proportional to 257,852.16, 386,553.60 and 207,843.84 is: 311,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,852.16 : 386,553.60 = 207,843.84 : x
  2. Step 2: Convert to fraction form
    257,852.16/386,553.60 = 207,843.84/x
  3. Step 3: Cross multiply
    257,852.16x = 386,553.60 × 207,843.84
  4. Step 4: Simplify right side
    257,852.16x = 80,342,784,589.82
  5. Step 5: Solve for x
    x = 80,342,784,589.82/257,852.16
  6. Step 6: Final answer
    x = 311,584.69

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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.