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Finding the Fourth Proportional to 369,180.36, 509,469.12 and 199,414.50

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Solution

The fourth proportional to 369,180.36, 509,469.12 and 199,414.50 is: 275,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,180.36 : 509,469.12 = 199,414.50 : x
  2. Step 2: Convert to fraction form
    369,180.36/509,469.12 = 199,414.50/x
  3. Step 3: Cross multiply
    369,180.36x = 509,469.12 × 199,414.50
  4. Step 4: Simplify right side
    369,180.36x = 101,595,529,830.24
  5. Step 5: Solve for x
    x = 101,595,529,830.24/369,180.36
  6. Step 6: Final answer
    x = 275,192.13

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1.5x scale

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.