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Finding the Fourth Proportional to 375,053.04, 517,572.90 and 205,287

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Solution

The fourth proportional to 375,053.04, 517,572.90 and 205,287 is: 283,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,053.04 : 517,572.90 = 205,287 : x
  2. Step 2: Convert to fraction form
    375,053.04/517,572.90 = 205,287/x
  3. Step 3: Cross multiply
    375,053.04x = 517,572.90 × 205,287
  4. Step 4: Simplify right side
    375,053.04x = 106,250,987,922.30
  5. Step 5: Solve for x
    x = 106,250,987,922.30/375,053.04
  6. Step 6: Final answer
    x = 283,295.90

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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.