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Finding the Fourth Proportional to 667,797.06, 921,211.28 and 409,731.56

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Solution

The fourth proportional to 667,797.06, 921,211.28 and 409,731.56 is: 565,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,797.06 : 921,211.28 = 409,731.56 : x
  2. Step 2: Convert to fraction form
    667,797.06/921,211.28 = 409,731.56/x
  3. Step 3: Cross multiply
    667,797.06x = 921,211.28 × 409,731.56
  4. Step 4: Simplify right side
    667,797.06x = 377,449,334,844.00
  5. Step 5: Solve for x
    x = 377,449,334,844.00/667,797.06
  6. Step 6: Final answer
    x = 565,215.63

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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.