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Finding the Fourth Proportional to 315,309.96, 434,388.42 and 219,643.56

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Solution

The fourth proportional to 315,309.96, 434,388.42 and 219,643.56 is: 302,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,309.96 : 434,388.42 = 219,643.56 : x
  2. Step 2: Convert to fraction form
    315,309.96/434,388.42 = 219,643.56/x
  3. Step 3: Cross multiply
    315,309.96x = 434,388.42 × 219,643.56
  4. Step 4: Simplify right side
    315,309.96x = 95,410,618,991.58
  5. Step 5: Solve for x
    x = 95,410,618,991.58/315,309.96
  6. Step 6: Final answer
    x = 302,593.10

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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.