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Finding the Fourth Proportional to 280,664.70, 420,997.05 and 280,664.70

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Solution

The fourth proportional to 280,664.70, 420,997.05 and 280,664.70 is: 420,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,664.70 : 420,997.05 = 280,664.70 : x
  2. Step 2: Convert to fraction form
    280,664.70/420,997.05 = 280,664.70/x
  3. Step 3: Cross multiply
    280,664.70x = 420,997.05 × 280,664.70
  4. Step 4: Simplify right side
    280,664.70x = 118,159,010,739.14
  5. Step 5: Solve for x
    x = 118,159,010,739.14/280,664.70
  6. Step 6: Final answer
    x = 420,997.05

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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.