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Finding the Fourth Proportional to 376,031, 518,922.78 and 206,265.53

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Solution

The fourth proportional to 376,031, 518,922.78 and 206,265.53 is: 284,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,031 : 518,922.78 = 206,265.53 : x
  2. Step 2: Convert to fraction form
    376,031/518,922.78 = 206,265.53/x
  3. Step 3: Cross multiply
    376,031x = 518,922.78 × 206,265.53
  4. Step 4: Simplify right side
    376,031x = 107,035,882,245.77
  5. Step 5: Solve for x
    x = 107,035,882,245.77/376,031
  6. Step 6: Final answer
    x = 284,646.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.