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Finding the Fourth Proportional to 375,342.36, 517,964.94 and 205,575

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Solution

The fourth proportional to 375,342.36, 517,964.94 and 205,575 is: 283,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,342.36 : 517,964.94 = 205,575 : x
  2. Step 2: Convert to fraction form
    375,342.36/517,964.94 = 205,575/x
  3. Step 3: Cross multiply
    375,342.36x = 517,964.94 × 205,575
  4. Step 4: Simplify right side
    375,342.36x = 106,480,642,540.50
  5. Step 5: Solve for x
    x = 106,480,642,540.50/375,342.36
  6. Step 6: Final answer
    x = 283,689.38

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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.