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Finding the Fourth Proportional to 551,538, 826,921.10 and 281,749.68

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Solution

The fourth proportional to 551,538, 826,921.10 and 281,749.68 is: 422,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,538 : 826,921.10 = 281,749.68 : x
  2. Step 2: Convert to fraction form
    551,538/826,921.10 = 281,749.68/x
  3. Step 3: Cross multiply
    551,538x = 826,921.10 × 281,749.68
  4. Step 4: Simplify right side
    551,538x = 232,984,753,901.50
  5. Step 5: Solve for x
    x = 232,984,753,901.50/551,538
  6. Step 6: Final answer
    x = 422,427.38

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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.