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Finding the Fourth Proportional to 356,502.85, 491,925.78 and 203,531.31

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Solution

The fourth proportional to 356,502.85, 491,925.78 and 203,531.31 is: 280,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,502.85 : 491,925.78 = 203,531.31 : x
  2. Step 2: Convert to fraction form
    356,502.85/491,925.78 = 203,531.31/x
  3. Step 3: Cross multiply
    356,502.85x = 491,925.78 × 203,531.31
  4. Step 4: Simplify right side
    356,502.85x = 100,122,295,966.54
  5. Step 5: Solve for x
    x = 100,122,295,966.54/356,502.85
  6. Step 6: Final answer
    x = 280,845.71

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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.