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Finding the Fourth Proportional to 398,976, 550,586.88 and 220,128

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Solution

The fourth proportional to 398,976, 550,586.88 and 220,128 is: 303,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,976 : 550,586.88 = 220,128 : x
  2. Step 2: Convert to fraction form
    398,976/550,586.88 = 220,128/x
  3. Step 3: Cross multiply
    398,976x = 550,586.88 × 220,128
  4. Step 4: Simplify right side
    398,976x = 121,199,588,720.64
  5. Step 5: Solve for x
    x = 121,199,588,720.64/398,976
  6. Step 6: Final answer
    x = 303,776.64

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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.