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Finding the Fourth Proportional to 306,543.86, 422,790.89 and 199,148.49

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Solution

The fourth proportional to 306,543.86, 422,790.89 and 199,148.49 is: 274,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,543.86 : 422,790.89 = 199,148.49 : x
  2. Step 2: Convert to fraction form
    306,543.86/422,790.89 = 199,148.49/x
  3. Step 3: Cross multiply
    306,543.86x = 422,790.89 × 199,148.49
  4. Step 4: Simplify right side
    306,543.86x = 84,198,166,333.51
  5. Step 5: Solve for x
    x = 84,198,166,333.51/306,543.86
  6. Step 6: Final answer
    x = 274,669.24

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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.