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Finding the Fourth Proportional to 289,944.33, 434,946.33 and 100,404.33

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Solution

The fourth proportional to 289,944.33, 434,946.33 and 100,404.33 is: 150,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,944.33 : 434,946.33 = 100,404.33 : x
  2. Step 2: Convert to fraction form
    289,944.33/434,946.33 = 100,404.33/x
  3. Step 3: Cross multiply
    289,944.33x = 434,946.33 × 100,404.33
  4. Step 4: Simplify right side
    289,944.33x = 43,670,494,849.61
  5. Step 5: Solve for x
    x = 43,670,494,849.61/289,944.33
  6. Step 6: Final answer
    x = 150,616.83

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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.