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Finding the Fourth Proportional to 722,614.84, 1,083,978.34 and 217,136.36

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Solution

The fourth proportional to 722,614.84, 1,083,978.34 and 217,136.36 is: 325,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,614.84 : 1,083,978.34 = 217,136.36 : x
  2. Step 2: Convert to fraction form
    722,614.84/1,083,978.34 = 217,136.36/x
  3. Step 3: Cross multiply
    722,614.84x = 1,083,978.34 × 217,136.36
  4. Step 4: Simplify right side
    722,614.84x = 235,371,111,066.44
  5. Step 5: Solve for x
    x = 235,371,111,066.44/722,614.84
  6. Step 6: Final answer
    x = 325,721.39

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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.