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Finding the Fourth Proportional to 446,813.22, 617,229.81 and 406,455.78

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Solution

The fourth proportional to 446,813.22, 617,229.81 and 406,455.78 is: 561,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,813.22 : 617,229.81 = 406,455.78 : x
  2. Step 2: Convert to fraction form
    446,813.22/617,229.81 = 406,455.78/x
  3. Step 3: Cross multiply
    446,813.22x = 617,229.81 × 406,455.78
  4. Step 4: Simplify right side
    446,813.22x = 250,876,623,862.80
  5. Step 5: Solve for x
    x = 250,876,623,862.80/446,813.22
  6. Step 6: Final answer
    x = 561,479.86

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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.