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Finding the Fourth Proportional to 358,071.82, 494,202.27 and 205,117.90

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Solution

The fourth proportional to 358,071.82, 494,202.27 and 205,117.90 is: 283,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,071.82 : 494,202.27 = 205,117.90 : x
  2. Step 2: Convert to fraction form
    358,071.82/494,202.27 = 205,117.90/x
  3. Step 3: Cross multiply
    358,071.82x = 494,202.27 × 205,117.90
  4. Step 4: Simplify right side
    358,071.82x = 101,369,731,797.63
  5. Step 5: Solve for x
    x = 101,369,731,797.63/358,071.82
  6. Step 6: Final answer
    x = 283,098.88

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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.