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Finding the Fourth Proportional to 375,678.96, 518,449.92 and 205,913.04

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Solution

The fourth proportional to 375,678.96, 518,449.92 and 205,913.04 is: 284,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,678.96 : 518,449.92 = 205,913.04 : x
  2. Step 2: Convert to fraction form
    375,678.96/518,449.92 = 205,913.04/x
  3. Step 3: Cross multiply
    375,678.96x = 518,449.92 × 205,913.04
  4. Step 4: Simplify right side
    375,678.96x = 106,755,599,114.96
  5. Step 5: Solve for x
    x = 106,755,599,114.96/375,678.96
  6. Step 6: Final answer
    x = 284,167.10

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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.