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Finding the Fourth Proportional to 369,184.36, 509,474.64 and 199,418.50

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Solution

The fourth proportional to 369,184.36, 509,474.64 and 199,418.50 is: 275,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,184.36 : 509,474.64 = 199,418.50 : x
  2. Step 2: Convert to fraction form
    369,184.36/509,474.64 = 199,418.50/x
  3. Step 3: Cross multiply
    369,184.36x = 509,474.64 × 199,418.50
  4. Step 4: Simplify right side
    369,184.36x = 101,598,668,496.84
  5. Step 5: Solve for x
    x = 101,598,668,496.84/369,184.36
  6. Step 6: Final answer
    x = 275,197.65

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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.