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Finding the Fourth Proportional to 348,765.53, 523,015.49 and 206,650.90

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Solution

The fourth proportional to 348,765.53, 523,015.49 and 206,650.90 is: 309,897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,765.53 : 523,015.49 = 206,650.90 : x
  2. Step 2: Convert to fraction form
    348,765.53/523,015.49 = 206,650.90/x
  3. Step 3: Cross multiply
    348,765.53x = 523,015.49 × 206,650.90
  4. Step 4: Simplify right side
    348,765.53x = 108,081,622,892.84
  5. Step 5: Solve for x
    x = 108,081,622,892.84/348,765.53
  6. Step 6: Final answer
    x = 309,897.67

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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.