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Finding the Fourth Proportional to 306,578.79, 422,716.86 and 209,829.33

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Solution

The fourth proportional to 306,578.79, 422,716.86 and 209,829.33 is: 289,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,578.79 : 422,716.86 = 209,829.33 : x
  2. Step 2: Convert to fraction form
    306,578.79/422,716.86 = 209,829.33/x
  3. Step 3: Cross multiply
    306,578.79x = 422,716.86 × 209,829.33
  4. Step 4: Simplify right side
    306,578.79x = 88,698,395,513.50
  5. Step 5: Solve for x
    x = 88,698,395,513.50/306,578.79
  6. Step 6: Final answer
    x = 289,316.80

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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.