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Finding the Fourth Proportional to 375,712.72, 518,496.84 and 205,946.80

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Solution

The fourth proportional to 375,712.72, 518,496.84 and 205,946.80 is: 284,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,712.72 : 518,496.84 = 205,946.80 : x
  2. Step 2: Convert to fraction form
    375,712.72/518,496.84 = 205,946.80/x
  3. Step 3: Cross multiply
    375,712.72x = 518,496.84 × 205,946.80
  4. Step 4: Simplify right side
    375,712.72x = 106,782,765,008.11
  5. Step 5: Solve for x
    x = 106,782,765,008.11/375,712.72
  6. Step 6: Final answer
    x = 284,213.87

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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.