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Finding the Fourth Proportional to 355,619.84, 490,749.44 and 196,643.84

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Solution

The fourth proportional to 355,619.84, 490,749.44 and 196,643.84 is: 271,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,619.84 : 490,749.44 = 196,643.84 : x
  2. Step 2: Convert to fraction form
    355,619.84/490,749.44 = 196,643.84/x
  3. Step 3: Cross multiply
    355,619.84x = 490,749.44 × 196,643.84
  4. Step 4: Simplify right side
    355,619.84x = 96,502,854,359.45
  5. Step 5: Solve for x
    x = 96,502,854,359.45/355,619.84
  6. Step 6: Final answer
    x = 271,365.22

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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.