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Finding the Fourth Proportional to 844,128, 1,266,192 and 253,152

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Solution

The fourth proportional to 844,128, 1,266,192 and 253,152 is: 379,728

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,128 : 1,266,192 = 253,152 : x
  2. Step 2: Convert to fraction form
    844,128/1,266,192 = 253,152/x
  3. Step 3: Cross multiply
    844,128x = 1,266,192 × 253,152
  4. Step 4: Simplify right side
    844,128x = 320,539,037,184
  5. Step 5: Solve for x
    x = 320,539,037,184/844,128
  6. Step 6: Final answer
    x = 379,728

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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.