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Finding the Fourth Proportional to 369,184.88, 509,475.33 and 199,419

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Solution

The fourth proportional to 369,184.88, 509,475.33 and 199,419 is: 275,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,184.88 : 509,475.33 = 199,419 : x
  2. Step 2: Convert to fraction form
    369,184.88/509,475.33 = 199,419/x
  3. Step 3: Cross multiply
    369,184.88x = 509,475.33 × 199,419
  4. Step 4: Simplify right side
    369,184.88x = 101,599,060,833.27
  5. Step 5: Solve for x
    x = 101,599,060,833.27/369,184.88
  6. Step 6: Final answer
    x = 275,198.33

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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.