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Finding the Fourth Proportional to 305,466.57, 421,523.60 and 169,491.90

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Solution

The fourth proportional to 305,466.57, 421,523.60 and 169,491.90 is: 233,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,466.57 : 421,523.60 = 169,491.90 : x
  2. Step 2: Convert to fraction form
    305,466.57/421,523.60 = 169,491.90/x
  3. Step 3: Cross multiply
    305,466.57x = 421,523.60 × 169,491.90
  4. Step 4: Simplify right side
    305,466.57x = 71,444,834,174.95
  5. Step 5: Solve for x
    x = 71,444,834,174.95/305,466.57
  6. Step 6: Final answer
    x = 233,887.58

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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.