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Finding the Fourth Proportional to 408,915.02, 613,634.97 and 198,438.14

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Solution

The fourth proportional to 408,915.02, 613,634.97 and 198,438.14 is: 297,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,915.02 : 613,634.97 = 198,438.14 : x
  2. Step 2: Convert to fraction form
    408,915.02/613,634.97 = 198,438.14/x
  3. Step 3: Cross multiply
    408,915.02x = 613,634.97 × 198,438.14
  4. Step 4: Simplify right side
    408,915.02x = 121,768,582,085.76
  5. Step 5: Solve for x
    x = 121,768,582,085.76/408,915.02
  6. Step 6: Final answer
    x = 297,784.57

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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.