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Finding the Fourth Proportional to 289,773.21, 434,569.80 and 139,920.33

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Solution

The fourth proportional to 289,773.21, 434,569.80 and 139,920.33 is: 209,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,773.21 : 434,569.80 = 139,920.33 : x
  2. Step 2: Convert to fraction form
    289,773.21/434,569.80 = 139,920.33/x
  3. Step 3: Cross multiply
    289,773.21x = 434,569.80 × 139,920.33
  4. Step 4: Simplify right side
    289,773.21x = 60,805,149,824.03
  5. Step 5: Solve for x
    x = 60,805,149,824.03/289,773.21
  6. Step 6: Final answer
    x = 209,837.03

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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.