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Finding the Fourth Proportional to 305,649.36, 421,797.60 and 190,994.58

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Solution

The fourth proportional to 305,649.36, 421,797.60 and 190,994.58 is: 263,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,649.36 : 421,797.60 = 190,994.58 : x
  2. Step 2: Convert to fraction form
    305,649.36/421,797.60 = 190,994.58/x
  3. Step 3: Cross multiply
    305,649.36x = 421,797.60 × 190,994.58
  4. Step 4: Simplify right side
    305,649.36x = 80,561,055,457.01
  5. Step 5: Solve for x
    x = 80,561,055,457.01/305,649.36
  6. Step 6: Final answer
    x = 263,573.45

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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.