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Finding the Fourth Proportional to 375,679.96, 518,451.30 and 205,914.04

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Solution

The fourth proportional to 375,679.96, 518,451.30 and 205,914.04 is: 284,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,679.96 : 518,451.30 = 205,914.04 : x
  2. Step 2: Convert to fraction form
    375,679.96/518,451.30 = 205,914.04/x
  3. Step 3: Cross multiply
    375,679.96x = 518,451.30 × 205,914.04
  4. Step 4: Simplify right side
    375,679.96x = 106,756,401,726.25
  5. Step 5: Solve for x
    x = 106,756,401,726.25/375,679.96
  6. Step 6: Final answer
    x = 284,168.48

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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.