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Finding the Fourth Proportional to 375,398.82, 518,045.22 and 205,634.16

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Solution

The fourth proportional to 375,398.82, 518,045.22 and 205,634.16 is: 283,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,398.82 : 518,045.22 = 205,634.16 : x
  2. Step 2: Convert to fraction form
    375,398.82/518,045.22 = 205,634.16/x
  3. Step 3: Cross multiply
    375,398.82x = 518,045.22 × 205,634.16
  4. Step 4: Simplify right side
    375,398.82x = 106,527,793,656.72
  5. Step 5: Solve for x
    x = 106,527,793,656.72/375,398.82
  6. Step 6: Final answer
    x = 283,772.32

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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.