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Finding the Fourth Proportional to 397,213.55, 548,021.28 and 225,118.01

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Solution

The fourth proportional to 397,213.55, 548,021.28 and 225,118.01 is: 310,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,213.55 : 548,021.28 = 225,118.01 : x
  2. Step 2: Convert to fraction form
    397,213.55/548,021.28 = 225,118.01/x
  3. Step 3: Cross multiply
    397,213.55x = 548,021.28 × 225,118.01
  4. Step 4: Simplify right side
    397,213.55x = 123,369,457,251.15
  5. Step 5: Solve for x
    x = 123,369,457,251.15/397,213.55
  6. Step 6: Final answer
    x = 310,587.24

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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.