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Finding the Fourth Proportional to 519,696, 717,180.48 and 281,232

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Solution

The fourth proportional to 519,696, 717,180.48 and 281,232 is: 388,100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,696 : 717,180.48 = 281,232 : x
  2. Step 2: Convert to fraction form
    519,696/717,180.48 = 281,232/x
  3. Step 3: Cross multiply
    519,696x = 717,180.48 × 281,232
  4. Step 4: Simplify right side
    519,696x = 201,694,100,751.36
  5. Step 5: Solve for x
    x = 201,694,100,751.36/519,696
  6. Step 6: Final answer
    x = 388,100.16

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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.