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Finding the Fourth Proportional to 305,523.78, 421,647.98 and 169,555.26

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Solution

The fourth proportional to 305,523.78, 421,647.98 and 169,555.26 is: 234,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,523.78 : 421,647.98 = 169,555.26 : x
  2. Step 2: Convert to fraction form
    305,523.78/421,647.98 = 169,555.26/x
  3. Step 3: Cross multiply
    305,523.78x = 421,647.98 × 169,555.26
  4. Step 4: Simplify right side
    305,523.78x = 71,492,632,029.60
  5. Step 5: Solve for x
    x = 71,492,632,029.60/305,523.78
  6. Step 6: Final answer
    x = 234,000.22

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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.