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Finding the Fourth Proportional to 375,005.92, 517,521.36 and 205,240

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Solution

The fourth proportional to 375,005.92, 517,521.36 and 205,240 is: 283,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,005.92 : 517,521.36 = 205,240 : x
  2. Step 2: Convert to fraction form
    375,005.92/517,521.36 = 205,240/x
  3. Step 3: Cross multiply
    375,005.92x = 517,521.36 × 205,240
  4. Step 4: Simplify right side
    375,005.92x = 106,216,083,926.40
  5. Step 5: Solve for x
    x = 106,216,083,926.40/375,005.92
  6. Step 6: Final answer
    x = 283,238.42

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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.