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Finding the Fourth Proportional to 205,513.20, 308,730.60 and 199,983.60

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Solution

The fourth proportional to 205,513.20, 308,730.60 and 199,983.60 is: 300,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,513.20 : 308,730.60 = 199,983.60 : x
  2. Step 2: Convert to fraction form
    205,513.20/308,730.60 = 199,983.60/x
  3. Step 3: Cross multiply
    205,513.20x = 308,730.60 × 199,983.60
  4. Step 4: Simplify right side
    205,513.20x = 61,741,056,818.16
  5. Step 5: Solve for x
    x = 61,741,056,818.16/205,513.20
  6. Step 6: Final answer
    x = 300,423.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.