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Finding the Fourth Proportional to 397,405.85, 548,142.09 and 261,396.32

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Solution

The fourth proportional to 397,405.85, 548,142.09 and 261,396.32 is: 360,544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,405.85 : 548,142.09 = 261,396.32 : x
  2. Step 2: Convert to fraction form
    397,405.85/548,142.09 = 261,396.32/x
  3. Step 3: Cross multiply
    397,405.85x = 548,142.09 × 261,396.32
  4. Step 4: Simplify right side
    397,405.85x = 143,282,321,442.16
  5. Step 5: Solve for x
    x = 143,282,321,442.16/397,405.85
  6. Step 6: Final answer
    x = 360,544.07

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1.5x scale

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.