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Finding the Fourth Proportional to 408,893.14, 613,438.53 and 128,410.39

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Solution

The fourth proportional to 408,893.14, 613,438.53 and 128,410.39 is: 192,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,893.14 : 613,438.53 = 128,410.39 : x
  2. Step 2: Convert to fraction form
    408,893.14/613,438.53 = 128,410.39/x
  3. Step 3: Cross multiply
    408,893.14x = 613,438.53 × 128,410.39
  4. Step 4: Simplify right side
    408,893.14x = 78,771,880,878.33
  5. Step 5: Solve for x
    x = 78,771,880,878.33/408,893.14
  6. Step 6: Final answer
    x = 192,646.62

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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.