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Finding the Fourth Proportional to 521,510.25, 782,594.46 and 221,990.37

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Solution

The fourth proportional to 521,510.25, 782,594.46 and 221,990.37 is: 333,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,510.25 : 782,594.46 = 221,990.37 : x
  2. Step 2: Convert to fraction form
    521,510.25/782,594.46 = 221,990.37/x
  3. Step 3: Cross multiply
    521,510.25x = 782,594.46 × 221,990.37
  4. Step 4: Simplify right side
    521,510.25x = 173,728,433,735.35
  5. Step 5: Solve for x
    x = 173,728,433,735.35/521,510.25
  6. Step 6: Final answer
    x = 333,125.64

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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.