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Finding the Fourth Proportional to 408,915.27, 613,635.35 and 198,438.39

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Solution

The fourth proportional to 408,915.27, 613,635.35 and 198,438.39 is: 297,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,915.27 : 613,635.35 = 198,438.39 : x
  2. Step 2: Convert to fraction form
    408,915.27/613,635.35 = 198,438.39/x
  3. Step 3: Cross multiply
    408,915.27x = 613,635.35 × 198,438.39
  4. Step 4: Simplify right side
    408,915.27x = 121,768,810,901.09
  5. Step 5: Solve for x
    x = 121,768,810,901.09/408,915.27
  6. Step 6: Final answer
    x = 297,784.94

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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.