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Finding the Fourth Proportional to 469,074, 703,611 and 206,418

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Solution

The fourth proportional to 469,074, 703,611 and 206,418 is: 309,627

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,074 : 703,611 = 206,418 : x
  2. Step 2: Convert to fraction form
    469,074/703,611 = 206,418/x
  3. Step 3: Cross multiply
    469,074x = 703,611 × 206,418
  4. Step 4: Simplify right side
    469,074x = 145,237,975,398
  5. Step 5: Solve for x
    x = 145,237,975,398/469,074
  6. Step 6: Final answer
    x = 309,627

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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.