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Finding the Fourth Proportional to 305,200.40, 457,800.60 and 198,912.20

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Solution

The fourth proportional to 305,200.40, 457,800.60 and 198,912.20 is: 298,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,200.40 : 457,800.60 = 198,912.20 : x
  2. Step 2: Convert to fraction form
    305,200.40/457,800.60 = 198,912.20/x
  3. Step 3: Cross multiply
    305,200.40x = 457,800.60 × 198,912.20
  4. Step 4: Simplify right side
    305,200.40x = 91,062,124,507.32
  5. Step 5: Solve for x
    x = 91,062,124,507.32/305,200.40
  6. Step 6: Final answer
    x = 298,368.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.