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Finding the Fourth Proportional to 384,138.60, 576,207.90 and 134,845.80

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Solution

The fourth proportional to 384,138.60, 576,207.90 and 134,845.80 is: 202,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,138.60 : 576,207.90 = 134,845.80 : x
  2. Step 2: Convert to fraction form
    384,138.60/576,207.90 = 134,845.80/x
  3. Step 3: Cross multiply
    384,138.60x = 576,207.90 × 134,845.80
  4. Step 4: Simplify right side
    384,138.60x = 77,699,215,241.82
  5. Step 5: Solve for x
    x = 77,699,215,241.82/384,138.60
  6. Step 6: Final answer
    x = 202,268.70

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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.