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Finding the Fourth Proportional to 520,517.68, 780,891.42 and 221,254

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Solution

The fourth proportional to 520,517.68, 780,891.42 and 221,254 is: 331,929.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,517.68 : 780,891.42 = 221,254 : x
  2. Step 2: Convert to fraction form
    520,517.68/780,891.42 = 221,254/x
  3. Step 3: Cross multiply
    520,517.68x = 780,891.42 × 221,254
  4. Step 4: Simplify right side
    520,517.68x = 172,775,350,240.68
  5. Step 5: Solve for x
    x = 172,775,350,240.68/520,517.68
  6. Step 6: Final answer
    x = 331,929.84

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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.