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Finding the Fourth Proportional to 397,214.55, 548,022.66 and 225,119.01

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Solution

The fourth proportional to 397,214.55, 548,022.66 and 225,119.01 is: 310,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,214.55 : 548,022.66 = 225,119.01 : x
  2. Step 2: Convert to fraction form
    397,214.55/548,022.66 = 225,119.01/x
  3. Step 3: Cross multiply
    397,214.55x = 548,022.66 × 225,119.01
  4. Step 4: Simplify right side
    397,214.55x = 123,370,318,676.77
  5. Step 5: Solve for x
    x = 123,370,318,676.77/397,214.55
  6. Step 6: Final answer
    x = 310,588.62

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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.