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Finding the Fourth Proportional to 519,942, 717,519.96 and 281,478

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Solution

The fourth proportional to 519,942, 717,519.96 and 281,478 is: 388,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,942 : 717,519.96 = 281,478 : x
  2. Step 2: Convert to fraction form
    519,942/717,519.96 = 281,478/x
  3. Step 3: Cross multiply
    519,942x = 717,519.96 × 281,478
  4. Step 4: Simplify right side
    519,942x = 201,966,083,300.88
  5. Step 5: Solve for x
    x = 201,966,083,300.88/519,942
  6. Step 6: Final answer
    x = 388,439.64

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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.