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Finding the Fourth Proportional to 521,509.75, 782,593.71 and 221,989.87

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Solution

The fourth proportional to 521,509.75, 782,593.71 and 221,989.87 is: 333,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,509.75 : 782,593.71 = 221,989.87 : x
  2. Step 2: Convert to fraction form
    521,509.75/782,593.71 = 221,989.87/x
  3. Step 3: Cross multiply
    521,509.75x = 782,593.71 × 221,989.87
  4. Step 4: Simplify right side
    521,509.75x = 173,727,875,945.72
  5. Step 5: Solve for x
    x = 173,727,875,945.72/521,509.75
  6. Step 6: Final answer
    x = 333,124.89

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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.