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Finding the Fourth Proportional to 362,113.13, 499,721.60 and 200,978.62

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Solution

The fourth proportional to 362,113.13, 499,721.60 and 200,978.62 is: 277,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,113.13 : 499,721.60 = 200,978.62 : x
  2. Step 2: Convert to fraction form
    362,113.13/499,721.60 = 200,978.62/x
  3. Step 3: Cross multiply
    362,113.13x = 499,721.60 × 200,978.62
  4. Step 4: Simplify right side
    362,113.13x = 100,433,356,805.34
  5. Step 5: Solve for x
    x = 100,433,356,805.34/362,113.13
  6. Step 6: Final answer
    x = 277,353.53

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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.