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Finding the Fourth Proportional to 315,563.82, 435,509.58 and 188,239.41

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Solution

The fourth proportional to 315,563.82, 435,509.58 and 188,239.41 is: 259,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,563.82 : 435,509.58 = 188,239.41 : x
  2. Step 2: Convert to fraction form
    315,563.82/435,509.58 = 188,239.41/x
  3. Step 3: Cross multiply
    315,563.82x = 435,509.58 × 188,239.41
  4. Step 4: Simplify right side
    315,563.82x = 81,980,066,388.55
  5. Step 5: Solve for x
    x = 81,980,066,388.55/315,563.82
  6. Step 6: Final answer
    x = 259,789.18

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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.