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Finding the Fourth Proportional to 290,103.72, 435,145.90 and 119,319.54

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Solution

The fourth proportional to 290,103.72, 435,145.90 and 119,319.54 is: 178,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,103.72 : 435,145.90 = 119,319.54 : x
  2. Step 2: Convert to fraction form
    290,103.72/435,145.90 = 119,319.54/x
  3. Step 3: Cross multiply
    290,103.72x = 435,145.90 × 119,319.54
  4. Step 4: Simplify right side
    290,103.72x = 51,921,408,620.89
  5. Step 5: Solve for x
    x = 51,921,408,620.89/290,103.72
  6. Step 6: Final answer
    x = 178,975.33

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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.