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Finding the Fourth Proportional to 548,906.40, 822,970.80 and 211,816.80

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Solution

The fourth proportional to 548,906.40, 822,970.80 and 211,816.80 is: 317,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,906.40 : 822,970.80 = 211,816.80 : x
  2. Step 2: Convert to fraction form
    548,906.40/822,970.80 = 211,816.80/x
  3. Step 3: Cross multiply
    548,906.40x = 822,970.80 × 211,816.80
  4. Step 4: Simplify right side
    548,906.40x = 174,319,041,349.44
  5. Step 5: Solve for x
    x = 174,319,041,349.44/548,906.40
  6. Step 6: Final answer
    x = 317,575.17

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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.