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Finding the Fourth Proportional to 397,436.75, 548,457.41 and 216,144.78

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Solution

The fourth proportional to 397,436.75, 548,457.41 and 216,144.78 is: 298,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,436.75 : 548,457.41 = 216,144.78 : x
  2. Step 2: Convert to fraction form
    397,436.75/548,457.41 = 216,144.78/x
  3. Step 3: Cross multiply
    397,436.75x = 548,457.41 × 216,144.78
  4. Step 4: Simplify right side
    397,436.75x = 118,546,206,223.82
  5. Step 5: Solve for x
    x = 118,546,206,223.82/397,436.75
  6. Step 6: Final answer
    x = 298,276.91

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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.