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Finding the Fourth Proportional to 551,620.72, 827,010.12 and 285,211.16

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Solution

The fourth proportional to 551,620.72, 827,010.12 and 285,211.16 is: 427,599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,620.72 : 827,010.12 = 285,211.16 : x
  2. Step 2: Convert to fraction form
    551,620.72/827,010.12 = 285,211.16/x
  3. Step 3: Cross multiply
    551,620.72x = 827,010.12 × 285,211.16
  4. Step 4: Simplify right side
    551,620.72x = 235,872,515,656.94
  5. Step 5: Solve for x
    x = 235,872,515,656.94/551,620.72
  6. Step 6: Final answer
    x = 427,599.09

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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.