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Finding the Fourth Proportional to 384,164.58, 530,176.44 and 212,115.72

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Solution

The fourth proportional to 384,164.58, 530,176.44 and 212,115.72 is: 292,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,164.58 : 530,176.44 = 212,115.72 : x
  2. Step 2: Convert to fraction form
    384,164.58/530,176.44 = 212,115.72/x
  3. Step 3: Cross multiply
    384,164.58x = 530,176.44 × 212,115.72
  4. Step 4: Simplify right side
    384,164.58x = 112,458,757,297.64
  5. Step 5: Solve for x
    x = 112,458,757,297.64/384,164.58
  6. Step 6: Final answer
    x = 292,735.88

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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.