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Finding the Fourth Proportional to 408,997.40, 613,850.54 and 408,051.72

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Solution

The fourth proportional to 408,997.40, 613,850.54 and 408,051.72 is: 612,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,997.40 : 613,850.54 = 408,051.72 : x
  2. Step 2: Convert to fraction form
    408,997.40/613,850.54 = 408,051.72/x
  3. Step 3: Cross multiply
    408,997.40x = 613,850.54 × 408,051.72
  4. Step 4: Simplify right side
    408,997.40x = 250,482,768,669.93
  5. Step 5: Solve for x
    x = 250,482,768,669.93/408,997.40
  6. Step 6: Final answer
    x = 612,431.20

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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.