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Finding the Fourth Proportional to 291,084.76, 436,609.32 and 171,208

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Solution

The fourth proportional to 291,084.76, 436,609.32 and 171,208 is: 256,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,084.76 : 436,609.32 = 171,208 : x
  2. Step 2: Convert to fraction form
    291,084.76/436,609.32 = 171,208/x
  3. Step 3: Cross multiply
    291,084.76x = 436,609.32 × 171,208
  4. Step 4: Simplify right side
    291,084.76x = 74,751,008,458.56
  5. Step 5: Solve for x
    x = 74,751,008,458.56/291,084.76
  6. Step 6: Final answer
    x = 256,801.52

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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.