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Finding the Fourth Proportional to 383,496.62, 530,181.87 and 287,837.24

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Solution

The fourth proportional to 383,496.62, 530,181.87 and 287,837.24 is: 397,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,496.62 : 530,181.87 = 287,837.24 : x
  2. Step 2: Convert to fraction form
    383,496.62/530,181.87 = 287,837.24/x
  3. Step 3: Cross multiply
    383,496.62x = 530,181.87 × 287,837.24
  4. Step 4: Simplify right side
    383,496.62x = 152,606,086,158.84
  5. Step 5: Solve for x
    x = 152,606,086,158.84/383,496.62
  6. Step 6: Final answer
    x = 397,933.33

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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.