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Finding the Fourth Proportional to 375,893.20, 518,739.24 and 206,117.20

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Solution

The fourth proportional to 375,893.20, 518,739.24 and 206,117.20 is: 284,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,893.20 : 518,739.24 = 206,117.20 : x
  2. Step 2: Convert to fraction form
    375,893.20/518,739.24 = 206,117.20/x
  3. Step 3: Cross multiply
    375,893.20x = 518,739.24 × 206,117.20
  4. Step 4: Simplify right side
    375,893.20x = 106,921,079,678.93
  5. Step 5: Solve for x
    x = 106,921,079,678.93/375,893.20
  6. Step 6: Final answer
    x = 284,445.37

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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.