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Finding the Fourth Proportional to 384,080.60, 576,120.90 and 215,427.80

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Solution

The fourth proportional to 384,080.60, 576,120.90 and 215,427.80 is: 323,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,080.60 : 576,120.90 = 215,427.80 : x
  2. Step 2: Convert to fraction form
    384,080.60/576,120.90 = 215,427.80/x
  3. Step 3: Cross multiply
    384,080.60x = 576,120.90 × 215,427.80
  4. Step 4: Simplify right side
    384,080.60x = 124,112,458,021.02
  5. Step 5: Solve for x
    x = 124,112,458,021.02/384,080.60
  6. Step 6: Final answer
    x = 323,141.70

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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.