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Finding the Fourth Proportional to 375,893.68, 518,732.76 and 206,127.76

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Solution

The fourth proportional to 375,893.68, 518,732.76 and 206,127.76 is: 284,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,893.68 : 518,732.76 = 206,127.76 : x
  2. Step 2: Convert to fraction form
    375,893.68/518,732.76 = 206,127.76/x
  3. Step 3: Cross multiply
    375,893.68x = 518,732.76 × 206,127.76
  4. Step 4: Simplify right side
    375,893.68x = 106,925,221,857.42
  5. Step 5: Solve for x
    x = 106,925,221,857.42/375,893.68
  6. Step 6: Final answer
    x = 284,456.02

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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.