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Finding the Fourth Proportional to 1,266,288, 1,899,432 and 379,824

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Solution

The fourth proportional to 1,266,288, 1,899,432 and 379,824 is: 569,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,288 : 1,899,432 = 379,824 : x
  2. Step 2: Convert to fraction form
    1,266,288/1,899,432 = 379,824/x
  3. Step 3: Cross multiply
    1,266,288x = 1,899,432 × 379,824
  4. Step 4: Simplify right side
    1,266,288x = 721,449,859,968
  5. Step 5: Solve for x
    x = 721,449,859,968/1,266,288
  6. Step 6: Final answer
    x = 569,736

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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.