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Finding the Fourth Proportional to 507,219.98, 699,843.42 and 300,383.91

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Solution

The fourth proportional to 507,219.98, 699,843.42 and 300,383.91 is: 414,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,219.98 : 699,843.42 = 300,383.91 : x
  2. Step 2: Convert to fraction form
    507,219.98/699,843.42 = 300,383.91/x
  3. Step 3: Cross multiply
    507,219.98x = 699,843.42 × 300,383.91
  4. Step 4: Simplify right side
    507,219.98x = 210,221,702,887.37
  5. Step 5: Solve for x
    x = 210,221,702,887.37/507,219.98
  6. Step 6: Final answer
    x = 414,458.64

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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.