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Finding the Fourth Proportional to 289,798.08, 434,647.89 and 76,568.33

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Solution

The fourth proportional to 289,798.08, 434,647.89 and 76,568.33 is: 114,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,798.08 : 434,647.89 = 76,568.33 : x
  2. Step 2: Convert to fraction form
    289,798.08/434,647.89 = 76,568.33/x
  3. Step 3: Cross multiply
    289,798.08x = 434,647.89 × 76,568.33
  4. Step 4: Simplify right side
    289,798.08x = 33,280,260,902.08
  5. Step 5: Solve for x
    x = 33,280,260,902.08/289,798.08
  6. Step 6: Final answer
    x = 114,839.48

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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.