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Finding the Fourth Proportional to 278,745.06, 384,724.20 and 165,545.94

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Solution

The fourth proportional to 278,745.06, 384,724.20 and 165,545.94 is: 228,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,745.06 : 384,724.20 = 165,545.94 : x
  2. Step 2: Convert to fraction form
    278,745.06/384,724.20 = 165,545.94/x
  3. Step 3: Cross multiply
    278,745.06x = 384,724.20 × 165,545.94
  4. Step 4: Simplify right side
    278,745.06x = 63,689,529,329.75
  5. Step 5: Solve for x
    x = 63,689,529,329.75/278,745.06
  6. Step 6: Final answer
    x = 228,486.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.