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Finding the Fourth Proportional to 369,195.75, 509,490.41 and 199,429.88

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Solution

The fourth proportional to 369,195.75, 509,490.41 and 199,429.88 is: 275,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,195.75 : 509,490.41 = 199,429.88 : x
  2. Step 2: Convert to fraction form
    369,195.75/509,490.41 = 199,429.88/x
  3. Step 3: Cross multiply
    369,195.75x = 509,490.41 × 199,429.88
  4. Step 4: Simplify right side
    369,195.75x = 101,607,607,782.85
  5. Step 5: Solve for x
    x = 101,607,607,782.85/369,195.75
  6. Step 6: Final answer
    x = 275,213.37

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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.