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Finding the Fourth Proportional to 375,102.54, 517,642.38 and 205,347.60

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Solution

The fourth proportional to 375,102.54, 517,642.38 and 205,347.60 is: 283,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,102.54 : 517,642.38 = 205,347.60 : x
  2. Step 2: Convert to fraction form
    375,102.54/517,642.38 = 205,347.60/x
  3. Step 3: Cross multiply
    375,102.54x = 517,642.38 × 205,347.60
  4. Step 4: Simplify right side
    375,102.54x = 106,296,620,391.29
  5. Step 5: Solve for x
    x = 106,296,620,391.29/375,102.54
  6. Step 6: Final answer
    x = 283,380.17

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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.