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Finding the Fourth Proportional to 419,762.25, 629,643.38 and 153,377.55

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Solution

The fourth proportional to 419,762.25, 629,643.38 and 153,377.55 is: 230,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,762.25 : 629,643.38 = 153,377.55 : x
  2. Step 2: Convert to fraction form
    419,762.25/629,643.38 = 153,377.55/x
  3. Step 3: Cross multiply
    419,762.25x = 629,643.38 × 153,377.55
  4. Step 4: Simplify right side
    419,762.25x = 96,573,158,231.23
  5. Step 5: Solve for x
    x = 96,573,158,231.23/419,762.25
  6. Step 6: Final answer
    x = 230,066.33

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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.