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Finding the Fourth Proportional to 290,873.64, 436,320 and 80,493.96

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Solution

The fourth proportional to 290,873.64, 436,320 and 80,493.96 is: 120,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,873.64 : 436,320 = 80,493.96 : x
  2. Step 2: Convert to fraction form
    290,873.64/436,320 = 80,493.96/x
  3. Step 3: Cross multiply
    290,873.64x = 436,320 × 80,493.96
  4. Step 4: Simplify right side
    290,873.64x = 35,121,124,627.20
  5. Step 5: Solve for x
    x = 35,121,124,627.20/290,873.64
  6. Step 6: Final answer
    x = 120,743.58

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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.