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Finding the Fourth Proportional to 369,491.77, 509,898.43 and 199,725.90

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Solution

The fourth proportional to 369,491.77, 509,898.43 and 199,725.90 is: 275,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,491.77 : 509,898.43 = 199,725.90 : x
  2. Step 2: Convert to fraction form
    369,491.77/509,898.43 = 199,725.90/x
  3. Step 3: Cross multiply
    369,491.77x = 509,898.43 × 199,725.90
  4. Step 4: Simplify right side
    369,491.77x = 101,839,919,292.22
  5. Step 5: Solve for x
    x = 101,839,919,292.22/369,491.77
  6. Step 6: Final answer
    x = 275,621.62

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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.