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Finding the Fourth Proportional to 548,438.43, 822,675.87 and 188,605.74

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Solution

The fourth proportional to 548,438.43, 822,675.87 and 188,605.74 is: 282,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,438.43 : 822,675.87 = 188,605.74 : x
  2. Step 2: Convert to fraction form
    548,438.43/822,675.87 = 188,605.74/x
  3. Step 3: Cross multiply
    548,438.43x = 822,675.87 × 188,605.74
  4. Step 4: Simplify right side
    548,438.43x = 155,161,391,241.49
  5. Step 5: Solve for x
    x = 155,161,391,241.49/548,438.43
  6. Step 6: Final answer
    x = 282,914.88

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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.