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Finding the Fourth Proportional to 369,222, 509,526.36 and 199,456.20

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Solution

The fourth proportional to 369,222, 509,526.36 and 199,456.20 is: 275,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,222 : 509,526.36 = 199,456.20 : x
  2. Step 2: Convert to fraction form
    369,222/509,526.36 = 199,456.20/x
  3. Step 3: Cross multiply
    369,222x = 509,526.36 × 199,456.20
  4. Step 4: Simplify right side
    369,222x = 101,628,191,565.43
  5. Step 5: Solve for x
    x = 101,628,191,565.43/369,222
  6. Step 6: Final answer
    x = 275,249.56

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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.