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Finding the Fourth Proportional to 358,221.84, 494,350.26 and 205,257

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Solution

The fourth proportional to 358,221.84, 494,350.26 and 205,257 is: 283,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,221.84 : 494,350.26 = 205,257 : x
  2. Step 2: Convert to fraction form
    358,221.84/494,350.26 = 205,257/x
  3. Step 3: Cross multiply
    358,221.84x = 494,350.26 × 205,257
  4. Step 4: Simplify right side
    358,221.84x = 101,468,851,316.82
  5. Step 5: Solve for x
    x = 101,468,851,316.82/358,221.84
  6. Step 6: Final answer
    x = 283,257.02

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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.