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Finding the Fourth Proportional to 431,818.58, 647,407.98 and 206,965.01

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Solution

The fourth proportional to 431,818.58, 647,407.98 and 206,965.01 is: 310,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,818.58 : 647,407.98 = 206,965.01 : x
  2. Step 2: Convert to fraction form
    431,818.58/647,407.98 = 206,965.01/x
  3. Step 3: Cross multiply
    431,818.58x = 647,407.98 × 206,965.01
  4. Step 4: Simplify right side
    431,818.58x = 133,990,795,817.74
  5. Step 5: Solve for x
    x = 133,990,795,817.74/431,818.58
  6. Step 6: Final answer
    x = 310,294.19

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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.