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Finding the Fourth Proportional to 317,647.88, 438,559.22 and 196,918.20

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Solution

The fourth proportional to 317,647.88, 438,559.22 and 196,918.20 is: 271,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,647.88 : 438,559.22 = 196,918.20 : x
  2. Step 2: Convert to fraction form
    317,647.88/438,559.22 = 196,918.20/x
  3. Step 3: Cross multiply
    317,647.88x = 438,559.22 × 196,918.20
  4. Step 4: Simplify right side
    317,647.88x = 86,360,292,195.80
  5. Step 5: Solve for x
    x = 86,360,292,195.80/317,647.88
  6. Step 6: Final answer
    x = 271,874.29

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1.5x scale

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.