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Finding the Fourth Proportional to 426,622, 588,738.36 and 256,863.28

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Solution

The fourth proportional to 426,622, 588,738.36 and 256,863.28 is: 354,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,622 : 588,738.36 = 256,863.28 : x
  2. Step 2: Convert to fraction form
    426,622/588,738.36 = 256,863.28/x
  3. Step 3: Cross multiply
    426,622x = 588,738.36 × 256,863.28
  4. Step 4: Simplify right side
    426,622x = 151,225,266,211.42
  5. Step 5: Solve for x
    x = 151,225,266,211.42/426,622
  6. Step 6: Final answer
    x = 354,471.33

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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.