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Finding the Fourth Proportional to 309,080.40, 463,642.20 and 122,067.60

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Solution

The fourth proportional to 309,080.40, 463,642.20 and 122,067.60 is: 183,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,080.40 : 463,642.20 = 122,067.60 : x
  2. Step 2: Convert to fraction form
    309,080.40/463,642.20 = 122,067.60/x
  3. Step 3: Cross multiply
    309,080.40x = 463,642.20 × 122,067.60
  4. Step 4: Simplify right side
    309,080.40x = 56,595,690,612.72
  5. Step 5: Solve for x
    x = 56,595,690,612.72/309,080.40
  6. Step 6: Final answer
    x = 183,109.93

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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.