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Finding the Fourth Proportional to 551,845.12, 827,920.32 and 219,654.40

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Solution

The fourth proportional to 551,845.12, 827,920.32 and 219,654.40 is: 329,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,845.12 : 827,920.32 = 219,654.40 : x
  2. Step 2: Convert to fraction form
    551,845.12/827,920.32 = 219,654.40/x
  3. Step 3: Cross multiply
    551,845.12x = 827,920.32 × 219,654.40
  4. Step 4: Simplify right side
    551,845.12x = 181,856,341,137.41
  5. Step 5: Solve for x
    x = 181,856,341,137.41/551,845.12
  6. Step 6: Final answer
    x = 329,542.36

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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.