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Finding the Fourth Proportional to 375,829.72, 518,641.14 and 206,063.56

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Solution

The fourth proportional to 375,829.72, 518,641.14 and 206,063.56 is: 284,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,829.72 : 518,641.14 = 206,063.56 : x
  2. Step 2: Convert to fraction form
    375,829.72/518,641.14 = 206,063.56/x
  3. Step 3: Cross multiply
    375,829.72x = 518,641.14 × 206,063.56
  4. Step 4: Simplify right side
    375,829.72x = 106,873,039,670.86
  5. Step 5: Solve for x
    x = 106,873,039,670.86/375,829.72
  6. Step 6: Final answer
    x = 284,365.59

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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.