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Finding the Fourth Proportional to 278,408.80, 417,566.76 and 78,683.86

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Solution

The fourth proportional to 278,408.80, 417,566.76 and 78,683.86 is: 118,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,408.80 : 417,566.76 = 78,683.86 : x
  2. Step 2: Convert to fraction form
    278,408.80/417,566.76 = 78,683.86/x
  3. Step 3: Cross multiply
    278,408.80x = 417,566.76 × 78,683.86
  4. Step 4: Simplify right side
    278,408.80x = 32,855,764,484.49
  5. Step 5: Solve for x
    x = 32,855,764,484.49/278,408.80
  6. Step 6: Final answer
    x = 118,012.67

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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.