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Finding the Fourth Proportional to 202,495.80, 303,743.70 and 199,385.40

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Solution

The fourth proportional to 202,495.80, 303,743.70 and 199,385.40 is: 299,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,495.80 : 303,743.70 = 199,385.40 : x
  2. Step 2: Convert to fraction form
    202,495.80/303,743.70 = 199,385.40/x
  3. Step 3: Cross multiply
    202,495.80x = 303,743.70 × 199,385.40
  4. Step 4: Simplify right side
    202,495.80x = 60,562,059,121.98
  5. Step 5: Solve for x
    x = 60,562,059,121.98/202,495.80
  6. Step 6: Final answer
    x = 299,078.10

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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.