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Finding the Fourth Proportional to 288,993.38, 433,446.33 and 78,647.72

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Solution

The fourth proportional to 288,993.38, 433,446.33 and 78,647.72 is: 117,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,993.38 : 433,446.33 = 78,647.72 : x
  2. Step 2: Convert to fraction form
    288,993.38/433,446.33 = 78,647.72/x
  3. Step 3: Cross multiply
    288,993.38x = 433,446.33 × 78,647.72
  4. Step 4: Simplify right side
    288,993.38x = 34,089,565,596.87
  5. Step 5: Solve for x
    x = 34,089,565,596.87/288,993.38
  6. Step 6: Final answer
    x = 117,959.68

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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.