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Finding the Fourth Proportional to 375,808.80, 518,612.32 and 206,042.56

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Solution

The fourth proportional to 375,808.80, 518,612.32 and 206,042.56 is: 284,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,808.80 : 518,612.32 = 206,042.56 : x
  2. Step 2: Convert to fraction form
    375,808.80/518,612.32 = 206,042.56/x
  3. Step 3: Cross multiply
    375,808.80x = 518,612.32 × 206,042.56
  4. Step 4: Simplify right side
    375,808.80x = 106,856,210,060.34
  5. Step 5: Solve for x
    x = 106,856,210,060.34/375,808.80
  6. Step 6: Final answer
    x = 284,336.64

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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.