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Finding the Fourth Proportional to 551,159.96, 826,418.16 and 213,806.41

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Solution

The fourth proportional to 551,159.96, 826,418.16 and 213,806.41 is: 320,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,159.96 : 826,418.16 = 213,806.41 : x
  2. Step 2: Convert to fraction form
    551,159.96/826,418.16 = 213,806.41/x
  3. Step 3: Cross multiply
    551,159.96x = 826,418.16 × 213,806.41
  4. Step 4: Simplify right side
    551,159.96x = 176,693,499,948.41
  5. Step 5: Solve for x
    x = 176,693,499,948.41/551,159.96
  6. Step 6: Final answer
    x = 320,584.79

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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.