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Finding the Fourth Proportional to 491,196.88, 677,934.54 and 284,435.20

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Solution

The fourth proportional to 491,196.88, 677,934.54 and 284,435.20 is: 392,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,196.88 : 677,934.54 = 284,435.20 : x
  2. Step 2: Convert to fraction form
    491,196.88/677,934.54 = 284,435.20/x
  3. Step 3: Cross multiply
    491,196.88x = 677,934.54 × 284,435.20
  4. Step 4: Simplify right side
    491,196.88x = 192,828,446,471.81
  5. Step 5: Solve for x
    x = 192,828,446,471.81/491,196.88
  6. Step 6: Final answer
    x = 392,568.55

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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.