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Finding the Fourth Proportional to 580,464.92, 870,766.62 and 280,730.12

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Solution

The fourth proportional to 580,464.92, 870,766.62 and 280,730.12 is: 421,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,464.92 : 870,766.62 = 280,730.12 : x
  2. Step 2: Convert to fraction form
    580,464.92/870,766.62 = 280,730.12/x
  3. Step 3: Cross multiply
    580,464.92x = 870,766.62 × 280,730.12
  4. Step 4: Simplify right side
    580,464.92x = 244,450,415,529.82
  5. Step 5: Solve for x
    x = 244,450,415,529.82/580,464.92
  6. Step 6: Final answer
    x = 421,128.67

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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.