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Finding the Fourth Proportional to 305,719, 421,892.22 and 171,583

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Solution

The fourth proportional to 305,719, 421,892.22 and 171,583 is: 236,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,719 : 421,892.22 = 171,583 : x
  2. Step 2: Convert to fraction form
    305,719/421,892.22 = 171,583/x
  3. Step 3: Cross multiply
    305,719x = 421,892.22 × 171,583
  4. Step 4: Simplify right side
    305,719x = 72,389,532,784.26
  5. Step 5: Solve for x
    x = 72,389,532,784.26/305,719
  6. Step 6: Final answer
    x = 236,784.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.