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Finding the Fourth Proportional to 369,203.20, 509,511.09 and 208,049.38

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Solution

The fourth proportional to 369,203.20, 509,511.09 and 208,049.38 is: 287,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,203.20 : 509,511.09 = 208,049.38 : x
  2. Step 2: Convert to fraction form
    369,203.20/509,511.09 = 208,049.38/x
  3. Step 3: Cross multiply
    369,203.20x = 509,511.09 × 208,049.38
  4. Step 4: Simplify right side
    369,203.20x = 106,003,466,377.62
  5. Step 5: Solve for x
    x = 106,003,466,377.62/369,203.20
  6. Step 6: Final answer
    x = 287,114.16

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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.