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Finding the Fourth Proportional to 681,956, 941,099.34 and 380,150

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Solution

The fourth proportional to 681,956, 941,099.34 and 380,150 is: 524,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,956 : 941,099.34 = 380,150 : x
  2. Step 2: Convert to fraction form
    681,956/941,099.34 = 380,150/x
  3. Step 3: Cross multiply
    681,956x = 941,099.34 × 380,150
  4. Step 4: Simplify right side
    681,956x = 357,758,914,101
  5. Step 5: Solve for x
    x = 357,758,914,101/681,956
  6. Step 6: Final answer
    x = 524,607.03

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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.