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Finding the Fourth Proportional to 208,375.20, 312,530.40 and 58,600.80

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Solution

The fourth proportional to 208,375.20, 312,530.40 and 58,600.80 is: 87,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,375.20 : 312,530.40 = 58,600.80 : x
  2. Step 2: Convert to fraction form
    208,375.20/312,530.40 = 58,600.80/x
  3. Step 3: Cross multiply
    208,375.20x = 312,530.40 × 58,600.80
  4. Step 4: Simplify right side
    208,375.20x = 18,314,531,464.32
  5. Step 5: Solve for x
    x = 18,314,531,464.32/208,375.20
  6. Step 6: Final answer
    x = 87,892.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.