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Finding the Fourth Proportional to 280,743,999.15, 421,115,998.73 and 280,743,999.15

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Solution

The fourth proportional to 280,743,999.15, 421,115,998.73 and 280,743,999.15 is: 421,115,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,743,999.15 : 421,115,998.73 = 280,743,999.15 : x
  2. Step 2: Convert to fraction form
    280,743,999.15/421,115,998.73 = 280,743,999.15/x
  3. Step 3: Cross multiply
    280,743,999.15x = 421,115,998.73 × 280,743,999.15
  4. Step 4: Simplify right side
    280,743,999.15x = 118,225,789,588,102,800
  5. Step 5: Solve for x
    x = 118,225,789,588,102,800/280,743,999.15
  6. Step 6: Final answer
    x = 421,115,998.73

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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.