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Finding the Fourth Proportional to 309,039.66, 463,796.82 and 138,314.34

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Solution

The fourth proportional to 309,039.66, 463,796.82 and 138,314.34 is: 207,577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,039.66 : 463,796.82 = 138,314.34 : x
  2. Step 2: Convert to fraction form
    309,039.66/463,796.82 = 138,314.34/x
  3. Step 3: Cross multiply
    309,039.66x = 463,796.82 × 138,314.34
  4. Step 4: Simplify right side
    309,039.66x = 64,149,751,052.40
  5. Step 5: Solve for x
    x = 64,149,751,052.40/309,039.66
  6. Step 6: Final answer
    x = 207,577.73

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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.