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Finding the Fourth Proportional to 362,125.37, 499,726.78 and 200,987.21

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Solution

The fourth proportional to 362,125.37, 499,726.78 and 200,987.21 is: 277,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,125.37 : 499,726.78 = 200,987.21 : x
  2. Step 2: Convert to fraction form
    362,125.37/499,726.78 = 200,987.21/x
  3. Step 3: Cross multiply
    362,125.37x = 499,726.78 × 200,987.21
  4. Step 4: Simplify right side
    362,125.37x = 100,438,691,274.48
  5. Step 5: Solve for x
    x = 100,438,691,274.48/362,125.37
  6. Step 6: Final answer
    x = 277,358.89

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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.