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Finding the Fourth Proportional to 289,054.74, 433,629.09 and 89,328.54

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Solution

The fourth proportional to 289,054.74, 433,629.09 and 89,328.54 is: 134,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,054.74 : 433,629.09 = 89,328.54 : x
  2. Step 2: Convert to fraction form
    289,054.74/433,629.09 = 89,328.54/x
  3. Step 3: Cross multiply
    289,054.74x = 433,629.09 × 89,328.54
  4. Step 4: Simplify right side
    289,054.74x = 38,735,453,511.23
  5. Step 5: Solve for x
    x = 38,735,453,511.23/289,054.74
  6. Step 6: Final answer
    x = 134,007.33

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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.