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Finding the Fourth Proportional to 681,691.20, 940,803.84 and 409,847.64

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Solution

The fourth proportional to 681,691.20, 940,803.84 and 409,847.64 is: 565,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,691.20 : 940,803.84 = 409,847.64 : x
  2. Step 2: Convert to fraction form
    681,691.20/940,803.84 = 409,847.64/x
  3. Step 3: Cross multiply
    681,691.20x = 940,803.84 × 409,847.64
  4. Step 4: Simplify right side
    681,691.20x = 385,586,233,526.94
  5. Step 5: Solve for x
    x = 385,586,233,526.94/681,691.20
  6. Step 6: Final answer
    x = 565,631.82

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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.