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Finding the Fourth Proportional to 397,446.93, 548,314.96 and 225,328.59

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Solution

The fourth proportional to 397,446.93, 548,314.96 and 225,328.59 is: 310,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,446.93 : 548,314.96 = 225,328.59 : x
  2. Step 2: Convert to fraction form
    397,446.93/548,314.96 = 225,328.59/x
  3. Step 3: Cross multiply
    397,446.93x = 548,314.96 × 225,328.59
  4. Step 4: Simplify right side
    397,446.93x = 123,551,036,812.71
  5. Step 5: Solve for x
    x = 123,551,036,812.71/397,446.93
  6. Step 6: Final answer
    x = 310,861.72

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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.