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Finding the Fourth Proportional to 291,344.75, 437,017.26 and 80,984.51

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Solution

The fourth proportional to 291,344.75, 437,017.26 and 80,984.51 is: 121,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,344.75 : 437,017.26 = 80,984.51 : x
  2. Step 2: Convert to fraction form
    291,344.75/437,017.26 = 80,984.51/x
  3. Step 3: Cross multiply
    291,344.75x = 437,017.26 × 80,984.51
  4. Step 4: Simplify right side
    291,344.75x = 35,391,628,662.64
  5. Step 5: Solve for x
    x = 35,391,628,662.64/291,344.75
  6. Step 6: Final answer
    x = 121,476.80

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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.