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Finding the Fourth Proportional to 644,706, 967,003.29 and 218,232.68

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Solution

The fourth proportional to 644,706, 967,003.29 and 218,232.68 is: 327,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,706 : 967,003.29 = 218,232.68 : x
  2. Step 2: Convert to fraction form
    644,706/967,003.29 = 218,232.68/x
  3. Step 3: Cross multiply
    644,706x = 967,003.29 × 218,232.68
  4. Step 4: Simplify right side
    644,706x = 211,031,719,545.52
  5. Step 5: Solve for x
    x = 211,031,719,545.52/644,706
  6. Step 6: Final answer
    x = 327,330.16

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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.