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Finding the Fourth Proportional to 305,575.73, 421,688.50 and 169,611.31

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Solution

The fourth proportional to 305,575.73, 421,688.50 and 169,611.31 is: 234,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,575.73 : 421,688.50 = 169,611.31 : x
  2. Step 2: Convert to fraction form
    305,575.73/421,688.50 = 169,611.31/x
  3. Step 3: Cross multiply
    305,575.73x = 421,688.50 × 169,611.31
  4. Step 4: Simplify right side
    305,575.73x = 71,523,136,628.02
  5. Step 5: Solve for x
    x = 71,523,136,628.02/305,575.73
  6. Step 6: Final answer
    x = 234,060.27

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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.