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Finding the Fourth Proportional to 505,379.69, 697,172.30 and 301,286.82

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Solution

The fourth proportional to 505,379.69, 697,172.30 and 301,286.82 is: 415,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,379.69 : 697,172.30 = 301,286.82 : x
  2. Step 2: Convert to fraction form
    505,379.69/697,172.30 = 301,286.82/x
  3. Step 3: Cross multiply
    505,379.69x = 697,172.30 × 301,286.82
  4. Step 4: Simplify right side
    505,379.69x = 210,048,827,496.87
  5. Step 5: Solve for x
    x = 210,048,827,496.87/505,379.69
  6. Step 6: Final answer
    x = 415,625.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.