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Finding the Fourth Proportional to 431,770.69, 647,336.18 and 206,917.01

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Solution

The fourth proportional to 431,770.69, 647,336.18 and 206,917.01 is: 310,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,770.69 : 647,336.18 = 206,917.01 : x
  2. Step 2: Convert to fraction form
    431,770.69/647,336.18 = 206,917.01/x
  3. Step 3: Cross multiply
    431,770.69x = 647,336.18 × 206,917.01
  4. Step 4: Simplify right side
    431,770.69x = 133,944,869,597.86
  5. Step 5: Solve for x
    x = 133,944,869,597.86/431,770.69
  6. Step 6: Final answer
    x = 310,222.24

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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.