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Finding the Fourth Proportional to 356,282.92, 491,678.39 and 203,318.06

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Solution

The fourth proportional to 356,282.92, 491,678.39 and 203,318.06 is: 280,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,282.92 : 491,678.39 = 203,318.06 : x
  2. Step 2: Convert to fraction form
    356,282.92/491,678.39 = 203,318.06/x
  3. Step 3: Cross multiply
    356,282.92x = 491,678.39 × 203,318.06
  4. Step 4: Simplify right side
    356,282.92x = 99,967,096,611.33
  5. Step 5: Solve for x
    x = 99,967,096,611.33/356,282.92
  6. Step 6: Final answer
    x = 280,583.47

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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.