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Finding the Fourth Proportional to 209,446.59, 311,800.85 and 208,201.02

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Solution

The fourth proportional to 209,446.59, 311,800.85 and 208,201.02 is: 309,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,446.59 : 311,800.85 = 208,201.02 : x
  2. Step 2: Convert to fraction form
    209,446.59/311,800.85 = 208,201.02/x
  3. Step 3: Cross multiply
    209,446.59x = 311,800.85 × 208,201.02
  4. Step 4: Simplify right side
    209,446.59x = 64,917,255,006.87
  5. Step 5: Solve for x
    x = 64,917,255,006.87/209,446.59
  6. Step 6: Final answer
    x = 309,946.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.