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Finding the Fourth Proportional to 551,511.87, 827,268.42 and 172,434.57

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Solution

The fourth proportional to 551,511.87, 827,268.42 and 172,434.57 is: 258,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,511.87 : 827,268.42 = 172,434.57 : x
  2. Step 2: Convert to fraction form
    551,511.87/827,268.42 = 172,434.57/x
  3. Step 3: Cross multiply
    551,511.87x = 827,268.42 × 172,434.57
  4. Step 4: Simplify right side
    551,511.87x = 142,649,674,277.28
  5. Step 5: Solve for x
    x = 142,649,674,277.28/551,511.87
  6. Step 6: Final answer
    x = 258,652.05

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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.