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Finding the Fourth Proportional to 457,724.40, 686,586.60 and 408,735.60

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Solution

The fourth proportional to 457,724.40, 686,586.60 and 408,735.60 is: 613,103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,724.40 : 686,586.60 = 408,735.60 : x
  2. Step 2: Convert to fraction form
    457,724.40/686,586.60 = 408,735.60/x
  3. Step 3: Cross multiply
    457,724.40x = 686,586.60 × 408,735.60
  4. Step 4: Simplify right side
    457,724.40x = 280,632,385,902.96
  5. Step 5: Solve for x
    x = 280,632,385,902.96/457,724.40
  6. Step 6: Final answer
    x = 613,103.40

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Similar ratio
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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.