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Finding the Fourth Proportional to 383,486.88, 530,168.44 and 287,827.50

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Solution

The fourth proportional to 383,486.88, 530,168.44 and 287,827.50 is: 397,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,486.88 : 530,168.44 = 287,827.50 : x
  2. Step 2: Convert to fraction form
    383,486.88/530,168.44 = 287,827.50/x
  3. Step 3: Cross multiply
    383,486.88x = 530,168.44 × 287,827.50
  4. Step 4: Simplify right side
    383,486.88x = 152,597,056,664.10
  5. Step 5: Solve for x
    x = 152,597,056,664.10/383,486.88
  6. Step 6: Final answer
    x = 397,919.89

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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.