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Finding the Fourth Proportional to 375,290.88, 517,896.96 and 205,522.56

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Solution

The fourth proportional to 375,290.88, 517,896.96 and 205,522.56 is: 283,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,290.88 : 517,896.96 = 205,522.56 : x
  2. Step 2: Convert to fraction form
    375,290.88/517,896.96 = 205,522.56/x
  3. Step 3: Cross multiply
    375,290.88x = 517,896.96 × 205,522.56
  4. Step 4: Simplify right side
    375,290.88x = 106,439,509,035.42
  5. Step 5: Solve for x
    x = 106,439,509,035.42/375,290.88
  6. Step 6: Final answer
    x = 283,618.69

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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.