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Finding the Fourth Proportional to 348,225, 480,550.50 and 206,913

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Solution

The fourth proportional to 348,225, 480,550.50 and 206,913 is: 285,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,225 : 480,550.50 = 206,913 : x
  2. Step 2: Convert to fraction form
    348,225/480,550.50 = 206,913/x
  3. Step 3: Cross multiply
    348,225x = 480,550.50 × 206,913
  4. Step 4: Simplify right side
    348,225x = 99,432,145,606.50
  5. Step 5: Solve for x
    x = 99,432,145,606.50/348,225
  6. Step 6: Final answer
    x = 285,539.94

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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.