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Finding the Fourth Proportional to 289,537.79, 434,364.72 and 100,005.11

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Solution

The fourth proportional to 289,537.79, 434,364.72 and 100,005.11 is: 150,027.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,537.79 : 434,364.72 = 100,005.11 : x
  2. Step 2: Convert to fraction form
    289,537.79/434,364.72 = 100,005.11/x
  3. Step 3: Cross multiply
    289,537.79x = 434,364.72 × 100,005.11
  4. Step 4: Simplify right side
    289,537.79x = 43,438,691,103.69
  5. Step 5: Solve for x
    x = 43,438,691,103.69/289,537.79
  6. Step 6: Final answer
    x = 150,027.71

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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.