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Finding the Fourth Proportional to 239,422, 330,165.64 and 203,222.30

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Solution

The fourth proportional to 239,422, 330,165.64 and 203,222.30 is: 280,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,422 : 330,165.64 = 203,222.30 : x
  2. Step 2: Convert to fraction form
    239,422/330,165.64 = 203,222.30/x
  3. Step 3: Cross multiply
    239,422x = 330,165.64 × 203,222.30
  4. Step 4: Simplify right side
    239,422x = 67,097,020,741.77
  5. Step 5: Solve for x
    x = 67,097,020,741.77/239,422
  6. Step 6: Final answer
    x = 280,245.85

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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.