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Finding the Fourth Proportional to 375,316.50, 517,936.77 and 205,556.70

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Solution

The fourth proportional to 375,316.50, 517,936.77 and 205,556.70 is: 283,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,316.50 : 517,936.77 = 205,556.70 : x
  2. Step 2: Convert to fraction form
    375,316.50/517,936.77 = 205,556.70/x
  3. Step 3: Cross multiply
    375,316.50x = 517,936.77 × 205,556.70
  4. Step 4: Simplify right side
    375,316.50x = 106,465,373,249.86
  5. Step 5: Solve for x
    x = 106,465,373,249.86/375,316.50
  6. Step 6: Final answer
    x = 283,668.25

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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.