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Finding the Fourth Proportional to 397,297.32, 548,280.72 and 216,021.48

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Solution

The fourth proportional to 397,297.32, 548,280.72 and 216,021.48 is: 298,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,297.32 : 548,280.72 = 216,021.48 : x
  2. Step 2: Convert to fraction form
    397,297.32/548,280.72 = 216,021.48/x
  3. Step 3: Cross multiply
    397,297.32x = 548,280.72 × 216,021.48
  4. Step 4: Simplify right side
    397,297.32x = 118,440,412,589.87
  5. Step 5: Solve for x
    x = 118,440,412,589.87/397,297.32
  6. Step 6: Final answer
    x = 298,115.31

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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.