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Finding the Fourth Proportional to 614,942.40, 922,586.40 and 299,409.60

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Solution

The fourth proportional to 614,942.40, 922,586.40 and 299,409.60 is: 449,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,942.40 : 922,586.40 = 299,409.60 : x
  2. Step 2: Convert to fraction form
    614,942.40/922,586.40 = 299,409.60/x
  3. Step 3: Cross multiply
    614,942.40x = 922,586.40 × 299,409.60
  4. Step 4: Simplify right side
    614,942.40x = 276,231,224,989.44
  5. Step 5: Solve for x
    x = 276,231,224,989.44/614,942.40
  6. Step 6: Final answer
    x = 449,198.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.