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Finding the Fourth Proportional to 551,534.78, 827,115.96 and 209,897.12

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Solution

The fourth proportional to 551,534.78, 827,115.96 and 209,897.12 is: 314,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,534.78 : 827,115.96 = 209,897.12 : x
  2. Step 2: Convert to fraction form
    551,534.78/827,115.96 = 209,897.12/x
  3. Step 3: Cross multiply
    551,534.78x = 827,115.96 × 209,897.12
  4. Step 4: Simplify right side
    551,534.78x = 173,609,257,910.04
  5. Step 5: Solve for x
    x = 173,609,257,910.04/551,534.78
  6. Step 6: Final answer
    x = 314,774.81

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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.