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Finding the Fourth Proportional to 348,474, 480,819.96 and 205,181.76

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Solution

The fourth proportional to 348,474, 480,819.96 and 205,181.76 is: 283,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,474 : 480,819.96 = 205,181.76 : x
  2. Step 2: Convert to fraction form
    348,474/480,819.96 = 205,181.76/x
  3. Step 3: Cross multiply
    348,474x = 480,819.96 × 205,181.76
  4. Step 4: Simplify right side
    348,474x = 98,655,485,635.93
  5. Step 5: Solve for x
    x = 98,655,485,635.93/348,474
  6. Step 6: Final answer
    x = 283,107.16

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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.