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Finding the Fourth Proportional to 724,410, 1,086,674.94 and 225,774

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Solution

The fourth proportional to 724,410, 1,086,674.94 and 225,774 is: 338,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,410 : 1,086,674.94 = 225,774 : x
  2. Step 2: Convert to fraction form
    724,410/1,086,674.94 = 225,774/x
  3. Step 3: Cross multiply
    724,410x = 1,086,674.94 × 225,774
  4. Step 4: Simplify right side
    724,410x = 245,342,947,903.56
  5. Step 5: Solve for x
    x = 245,342,947,903.56/724,410
  6. Step 6: Final answer
    x = 338,679.68

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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.