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Finding the Fourth Proportional to 253,243.92, 349,584.21 and 157,797.78

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Solution

The fourth proportional to 253,243.92, 349,584.21 and 157,797.78 is: 217,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,243.92 : 349,584.21 = 157,797.78 : x
  2. Step 2: Convert to fraction form
    253,243.92/349,584.21 = 157,797.78/x
  3. Step 3: Cross multiply
    253,243.92x = 349,584.21 × 157,797.78
  4. Step 4: Simplify right side
    253,243.92x = 55,163,612,261.05
  5. Step 5: Solve for x
    x = 55,163,612,261.05/253,243.92
  6. Step 6: Final answer
    x = 217,827.98

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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.