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Finding the Fourth Proportional to 551,157.96, 826,415.16 and 213,804.41

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Solution

The fourth proportional to 551,157.96, 826,415.16 and 213,804.41 is: 320,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,157.96 : 826,415.16 = 213,804.41 : x
  2. Step 2: Convert to fraction form
    551,157.96/826,415.16 = 213,804.41/x
  3. Step 3: Cross multiply
    551,157.96x = 826,415.16 × 213,804.41
  4. Step 4: Simplify right side
    551,157.96x = 176,691,201,566.78
  5. Step 5: Solve for x
    x = 176,691,201,566.78/551,157.96
  6. Step 6: Final answer
    x = 320,581.78

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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.