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Finding the Fourth Proportional to 356,165.97, 491,522.28 and 203,229.06

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Solution

The fourth proportional to 356,165.97, 491,522.28 and 203,229.06 is: 280,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,165.97 : 491,522.28 = 203,229.06 : x
  2. Step 2: Convert to fraction form
    356,165.97/491,522.28 = 203,229.06/x
  3. Step 3: Cross multiply
    356,165.97x = 491,522.28 × 203,229.06
  4. Step 4: Simplify right side
    356,165.97x = 99,891,610,933.46
  5. Step 5: Solve for x
    x = 99,891,610,933.46/356,165.97
  6. Step 6: Final answer
    x = 280,463.66

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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.