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Finding the Fourth Proportional to 317,408.89, 437,992.36 and 190,081.21

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Solution

The fourth proportional to 317,408.89, 437,992.36 and 190,081.21 is: 262,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,408.89 : 437,992.36 = 190,081.21 : x
  2. Step 2: Convert to fraction form
    317,408.89/437,992.36 = 190,081.21/x
  3. Step 3: Cross multiply
    317,408.89x = 437,992.36 × 190,081.21
  4. Step 4: Simplify right side
    317,408.89x = 83,254,117,759.56
  5. Step 5: Solve for x
    x = 83,254,117,759.56/317,408.89
  6. Step 6: Final answer
    x = 262,292.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.