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Finding the Fourth Proportional to 551,870.92, 827,354.88 and 285,707.44

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Solution

The fourth proportional to 551,870.92, 827,354.88 and 285,707.44 is: 428,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,870.92 : 827,354.88 = 285,707.44 : x
  2. Step 2: Convert to fraction form
    551,870.92/827,354.88 = 285,707.44/x
  3. Step 3: Cross multiply
    551,870.92x = 827,354.88 × 285,707.44
  4. Step 4: Simplify right side
    551,870.92x = 236,381,444,736.31
  5. Step 5: Solve for x
    x = 236,381,444,736.31/551,870.92
  6. Step 6: Final answer
    x = 428,327.42

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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.