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Finding the Fourth Proportional to 309,464.90, 464,102.74 and 214,015.78

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Solution

The fourth proportional to 309,464.90, 464,102.74 and 214,015.78 is: 320,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,464.90 : 464,102.74 = 214,015.78 : x
  2. Step 2: Convert to fraction form
    309,464.90/464,102.74 = 214,015.78/x
  3. Step 3: Cross multiply
    309,464.90x = 464,102.74 × 214,015.78
  4. Step 4: Simplify right side
    309,464.90x = 99,325,310,748.89
  5. Step 5: Solve for x
    x = 99,325,310,748.89/309,464.90
  6. Step 6: Final answer
    x = 320,958.24

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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.