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Finding the Fourth Proportional to 398,824.64, 550,353.12 and 219,980.48

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Solution

The fourth proportional to 398,824.64, 550,353.12 and 219,980.48 is: 303,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,824.64 : 550,353.12 = 219,980.48 : x
  2. Step 2: Convert to fraction form
    398,824.64/550,353.12 = 219,980.48/x
  3. Step 3: Cross multiply
    398,824.64x = 550,353.12 × 219,980.48
  4. Step 4: Simplify right side
    398,824.64x = 121,066,943,507.10
  5. Step 5: Solve for x
    x = 121,066,943,507.10/398,824.64
  6. Step 6: Final answer
    x = 303,559.34

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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.