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Finding the Fourth Proportional to 548,468.40, 822,313.80 and 211,378.80

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Solution

The fourth proportional to 548,468.40, 822,313.80 and 211,378.80 is: 316,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,468.40 : 822,313.80 = 211,378.80 : x
  2. Step 2: Convert to fraction form
    548,468.40/822,313.80 = 211,378.80/x
  3. Step 3: Cross multiply
    548,468.40x = 822,313.80 × 211,378.80
  4. Step 4: Simplify right side
    548,468.40x = 173,819,704,267.44
  5. Step 5: Solve for x
    x = 173,819,704,267.44/548,468.40
  6. Step 6: Final answer
    x = 316,918.36

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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.