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Finding the Fourth Proportional to 356,538.30, 491,943.03 and 203,527.74

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Solution

The fourth proportional to 356,538.30, 491,943.03 and 203,527.74 is: 280,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,538.30 : 491,943.03 = 203,527.74 : x
  2. Step 2: Convert to fraction form
    356,538.30/491,943.03 = 203,527.74/x
  3. Step 3: Cross multiply
    356,538.30x = 491,943.03 × 203,527.74
  4. Step 4: Simplify right side
    356,538.30x = 100,124,053,104.65
  5. Step 5: Solve for x
    x = 100,124,053,104.65/356,538.30
  6. Step 6: Final answer
    x = 280,822.71

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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.