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Finding the Fourth Proportional to 375,029.98, 517,521.51 and 205,231.30

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Solution

The fourth proportional to 375,029.98, 517,521.51 and 205,231.30 is: 283,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,029.98 : 517,521.51 = 205,231.30 : x
  2. Step 2: Convert to fraction form
    375,029.98/517,521.51 = 205,231.30/x
  3. Step 3: Cross multiply
    375,029.98x = 517,521.51 × 205,231.30
  4. Step 4: Simplify right side
    375,029.98x = 106,211,612,275.26
  5. Step 5: Solve for x
    x = 106,211,612,275.26/375,029.98
  6. Step 6: Final answer
    x = 283,208.32

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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.