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Finding the Fourth Proportional to 356,320.82, 491,730.55 and 203,355.97

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Solution

The fourth proportional to 356,320.82, 491,730.55 and 203,355.97 is: 280,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,320.82 : 491,730.55 = 203,355.97 : x
  2. Step 2: Convert to fraction form
    356,320.82/491,730.55 = 203,355.97/x
  3. Step 3: Cross multiply
    356,320.82x = 491,730.55 × 203,355.97
  4. Step 4: Simplify right side
    356,320.82x = 99,996,341,236.17
  5. Step 5: Solve for x
    x = 99,996,341,236.17/356,320.82
  6. Step 6: Final answer
    x = 280,635.69

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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.