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Finding the Fourth Proportional to 289,903.38, 434,896.08 and 90,243.94

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Solution

The fourth proportional to 289,903.38, 434,896.08 and 90,243.94 is: 135,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,903.38 : 434,896.08 = 90,243.94 : x
  2. Step 2: Convert to fraction form
    289,903.38/434,896.08 = 90,243.94/x
  3. Step 3: Cross multiply
    289,903.38x = 434,896.08 × 90,243.94
  4. Step 4: Simplify right side
    289,903.38x = 39,246,735,749.76
  5. Step 5: Solve for x
    x = 39,246,735,749.76/289,903.38
  6. Step 6: Final answer
    x = 135,378.68

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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.