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Finding the Fourth Proportional to 369,361.28, 509,687.98 and 208,255.93

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Solution

The fourth proportional to 369,361.28, 509,687.98 and 208,255.93 is: 287,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,361.28 : 509,687.98 = 208,255.93 : x
  2. Step 2: Convert to fraction form
    369,361.28/509,687.98 = 208,255.93/x
  3. Step 3: Cross multiply
    369,361.28x = 509,687.98 × 208,255.93
  4. Step 4: Simplify right side
    369,361.28x = 106,145,542,489.86
  5. Step 5: Solve for x
    x = 106,145,542,489.86/369,361.28
  6. Step 6: Final answer
    x = 287,375.93

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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.