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Finding the Fourth Proportional to 383,494.62, 530,179.11 and 287,835.24

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Solution

The fourth proportional to 383,494.62, 530,179.11 and 287,835.24 is: 397,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,494.62 : 530,179.11 = 287,835.24 : x
  2. Step 2: Convert to fraction form
    383,494.62/530,179.11 = 287,835.24/x
  3. Step 3: Cross multiply
    383,494.62x = 530,179.11 × 287,835.24
  4. Step 4: Simplify right side
    383,494.62x = 152,604,231,369.84
  5. Step 5: Solve for x
    x = 152,604,231,369.84/383,494.62
  6. Step 6: Final answer
    x = 397,930.57

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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.