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Finding the Fourth Proportional to 525,168.82, 787,753.23 and 419,492.98

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Solution

The fourth proportional to 525,168.82, 787,753.23 and 419,492.98 is: 629,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,168.82 : 787,753.23 = 419,492.98 : x
  2. Step 2: Convert to fraction form
    525,168.82/787,753.23 = 419,492.98/x
  3. Step 3: Cross multiply
    525,168.82x = 787,753.23 × 419,492.98
  4. Step 4: Simplify right side
    525,168.82x = 330,456,949,957.33
  5. Step 5: Solve for x
    x = 330,456,949,957.33/525,168.82
  6. Step 6: Final answer
    x = 629,239.47

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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.