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Finding the Fourth Proportional to 498,728.80, 748,093.20 and 199,255.60

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Solution

The fourth proportional to 498,728.80, 748,093.20 and 199,255.60 is: 298,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,728.80 : 748,093.20 = 199,255.60 : x
  2. Step 2: Convert to fraction form
    498,728.80/748,093.20 = 199,255.60/x
  3. Step 3: Cross multiply
    498,728.80x = 748,093.20 × 199,255.60
  4. Step 4: Simplify right side
    498,728.80x = 149,061,759,421.92
  5. Step 5: Solve for x
    x = 149,061,759,421.92/498,728.80
  6. Step 6: Final answer
    x = 298,883.40

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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.