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Finding the Fourth Proportional to 305,403, 421,495.06 and 171,267

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Solution

The fourth proportional to 305,403, 421,495.06 and 171,267 is: 236,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,403 : 421,495.06 = 171,267 : x
  2. Step 2: Convert to fraction form
    305,403/421,495.06 = 171,267/x
  3. Step 3: Cross multiply
    305,403x = 421,495.06 × 171,267
  4. Step 4: Simplify right side
    305,403x = 72,188,194,441.02
  5. Step 5: Solve for x
    x = 72,188,194,441.02/305,403
  6. Step 6: Final answer
    x = 236,370.29

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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.