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Finding the Fourth Proportional to 522,021.66, 782,981.84 and 166,940.34

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Solution

The fourth proportional to 522,021.66, 782,981.84 and 166,940.34 is: 250,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,021.66 : 782,981.84 = 166,940.34 : x
  2. Step 2: Convert to fraction form
    522,021.66/782,981.84 = 166,940.34/x
  3. Step 3: Cross multiply
    522,021.66x = 782,981.84 × 166,940.34
  4. Step 4: Simplify right side
    522,021.66x = 130,711,254,583.43
  5. Step 5: Solve for x
    x = 130,711,254,583.43/522,021.66
  6. Step 6: Final answer
    x = 250,394.31

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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.