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Finding the Fourth Proportional to 437,478, 603,982.08 and 286,837.44

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Solution

The fourth proportional to 437,478, 603,982.08 and 286,837.44 is: 396,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,478 : 603,982.08 = 286,837.44 : x
  2. Step 2: Convert to fraction form
    437,478/603,982.08 = 286,837.44/x
  3. Step 3: Cross multiply
    437,478x = 603,982.08 × 286,837.44
  4. Step 4: Simplify right side
    437,478x = 173,244,673,633.08
  5. Step 5: Solve for x
    x = 173,244,673,633.08/437,478
  6. Step 6: Final answer
    x = 396,007.74

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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.