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Finding the Fourth Proportional to 504,578, 756,867 and 205,221.44

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Solution

The fourth proportional to 504,578, 756,867 and 205,221.44 is: 307,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,578 : 756,867 = 205,221.44 : x
  2. Step 2: Convert to fraction form
    504,578/756,867 = 205,221.44/x
  3. Step 3: Cross multiply
    504,578x = 756,867 × 205,221.44
  4. Step 4: Simplify right side
    504,578x = 155,325,335,628.48
  5. Step 5: Solve for x
    x = 155,325,335,628.48/504,578
  6. Step 6: Final answer
    x = 307,832.16

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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.