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Finding the Fourth Proportional to 354,261.36, 488,604.24 and 226,948.80

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Solution

The fourth proportional to 354,261.36, 488,604.24 and 226,948.80 is: 313,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,261.36 : 488,604.24 = 226,948.80 : x
  2. Step 2: Convert to fraction form
    354,261.36/488,604.24 = 226,948.80/x
  3. Step 3: Cross multiply
    354,261.36x = 488,604.24 × 226,948.80
  4. Step 4: Simplify right side
    354,261.36x = 110,888,145,942.91
  5. Step 5: Solve for x
    x = 110,888,145,942.91/354,261.36
  6. Step 6: Final answer
    x = 313,012.25

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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.