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Finding the Fourth Proportional to 208,640.80, 312,442.56 and 190,943.84

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Solution

The fourth proportional to 208,640.80, 312,442.56 and 190,943.84 is: 285,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,640.80 : 312,442.56 = 190,943.84 : x
  2. Step 2: Convert to fraction form
    208,640.80/312,442.56 = 190,943.84/x
  3. Step 3: Cross multiply
    208,640.80x = 312,442.56 × 190,943.84
  4. Step 4: Simplify right side
    208,640.80x = 59,658,982,185.83
  5. Step 5: Solve for x
    x = 59,658,982,185.83/208,640.80
  6. Step 6: Final answer
    x = 285,941.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.