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Finding the Fourth Proportional to 356,435.71, 491,862.48 and 203,467.82

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Solution

The fourth proportional to 356,435.71, 491,862.48 and 203,467.82 is: 280,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,435.71 : 491,862.48 = 203,467.82 : x
  2. Step 2: Convert to fraction form
    356,435.71/491,862.48 = 203,467.82/x
  3. Step 3: Cross multiply
    356,435.71x = 491,862.48 × 203,467.82
  4. Step 4: Simplify right side
    356,435.71x = 100,078,183,323.08
  5. Step 5: Solve for x
    x = 100,078,183,323.08/356,435.71
  6. Step 6: Final answer
    x = 280,774.85

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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.