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Finding the Fourth Proportional to 551,359.44, 826,419.27 and 280,727.93

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Solution

The fourth proportional to 551,359.44, 826,419.27 and 280,727.93 is: 420,776.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,359.44 : 826,419.27 = 280,727.93 : x
  2. Step 2: Convert to fraction form
    551,359.44/826,419.27 = 280,727.93/x
  3. Step 3: Cross multiply
    551,359.44x = 826,419.27 × 280,727.93
  4. Step 4: Simplify right side
    551,359.44x = 231,998,966,847.12
  5. Step 5: Solve for x
    x = 231,998,966,847.12/551,359.44
  6. Step 6: Final answer
    x = 420,776.27

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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.