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Finding the Fourth Proportional to 300,595, 450,961.62 and 103,603

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Solution

The fourth proportional to 300,595, 450,961.62 and 103,603 is: 155,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,595 : 450,961.62 = 103,603 : x
  2. Step 2: Convert to fraction form
    300,595/450,961.62 = 103,603/x
  3. Step 3: Cross multiply
    300,595x = 450,961.62 × 103,603
  4. Step 4: Simplify right side
    300,595x = 46,720,976,716.86
  5. Step 5: Solve for x
    x = 46,720,976,716.86/300,595
  6. Step 6: Final answer
    x = 155,428.32

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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.