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Finding the Fourth Proportional to 896,701, 1,237,447.38 and 494,301.64

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Solution

The fourth proportional to 896,701, 1,237,447.38 and 494,301.64 is: 682,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,701 : 1,237,447.38 = 494,301.64 : x
  2. Step 2: Convert to fraction form
    896,701/1,237,447.38 = 494,301.64/x
  3. Step 3: Cross multiply
    896,701x = 1,237,447.38 × 494,301.64
  4. Step 4: Simplify right side
    896,701x = 611,672,269,347.70
  5. Step 5: Solve for x
    x = 611,672,269,347.70/896,701
  6. Step 6: Final answer
    x = 682,136.26

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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.