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Finding the Fourth Proportional to 419,768.25, 629,652.38 and 153,383.55

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Solution

The fourth proportional to 419,768.25, 629,652.38 and 153,383.55 is: 230,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,768.25 : 629,652.38 = 153,383.55 : x
  2. Step 2: Convert to fraction form
    419,768.25/629,652.38 = 153,383.55/x
  3. Step 3: Cross multiply
    419,768.25x = 629,652.38 × 153,383.55
  4. Step 4: Simplify right side
    419,768.25x = 96,578,316,543.43
  5. Step 5: Solve for x
    x = 96,578,316,543.43/419,768.25
  6. Step 6: Final answer
    x = 230,075.33

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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.