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Finding the Fourth Proportional to 523,852, 722,915.76 and 285,388

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Solution

The fourth proportional to 523,852, 722,915.76 and 285,388 is: 393,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,852 : 722,915.76 = 285,388 : x
  2. Step 2: Convert to fraction form
    523,852/722,915.76 = 285,388/x
  3. Step 3: Cross multiply
    523,852x = 722,915.76 × 285,388
  4. Step 4: Simplify right side
    523,852x = 206,311,482,914.88
  5. Step 5: Solve for x
    x = 206,311,482,914.88/523,852
  6. Step 6: Final answer
    x = 393,835.44

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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.