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Finding the Fourth Proportional to 355,891.69, 491,135.09 and 204,988.69

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Solution

The fourth proportional to 355,891.69, 491,135.09 and 204,988.69 is: 282,887.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,891.69 : 491,135.09 = 204,988.69 : x
  2. Step 2: Convert to fraction form
    355,891.69/491,135.09 = 204,988.69/x
  3. Step 3: Cross multiply
    355,891.69x = 491,135.09 × 204,988.69
  4. Step 4: Simplify right side
    355,891.69x = 100,677,136,459.35
  5. Step 5: Solve for x
    x = 100,677,136,459.35/355,891.69
  6. Step 6: Final answer
    x = 282,887.01

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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.