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Finding the Fourth Proportional to 397,617.56, 548,706.20 and 216,325.36

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Solution

The fourth proportional to 397,617.56, 548,706.20 and 216,325.36 is: 298,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,617.56 : 548,706.20 = 216,325.36 : x
  2. Step 2: Convert to fraction form
    397,617.56/548,706.20 = 216,325.36/x
  3. Step 3: Cross multiply
    397,617.56x = 548,706.20 × 216,325.36
  4. Step 4: Simplify right side
    397,617.56x = 118,699,066,249.23
  5. Step 5: Solve for x
    x = 118,699,066,249.23/397,617.56
  6. Step 6: Final answer
    x = 298,525.71

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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.