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Finding the Fourth Proportional to 408,914.77, 613,634.60 and 198,437.89

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Solution

The fourth proportional to 408,914.77, 613,634.60 and 198,437.89 is: 297,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,914.77 : 613,634.60 = 198,437.89 : x
  2. Step 2: Convert to fraction form
    408,914.77/613,634.60 = 198,437.89/x
  3. Step 3: Cross multiply
    408,914.77x = 613,634.60 × 198,437.89
  4. Step 4: Simplify right side
    408,914.77x = 121,768,355,254.99
  5. Step 5: Solve for x
    x = 121,768,355,254.99/408,914.77
  6. Step 6: Final answer
    x = 297,784.19

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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.