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Finding the Fourth Proportional to 314,552.70, 434,087.91 and 171,315.54

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Solution

The fourth proportional to 314,552.70, 434,087.91 and 171,315.54 is: 236,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,552.70 : 434,087.91 = 171,315.54 : x
  2. Step 2: Convert to fraction form
    314,552.70/434,087.91 = 171,315.54/x
  3. Step 3: Cross multiply
    314,552.70x = 434,087.91 × 171,315.54
  4. Step 4: Simplify right side
    314,552.70x = 74,366,004,709.12
  5. Step 5: Solve for x
    x = 74,366,004,709.12/314,552.70
  6. Step 6: Final answer
    x = 236,418.27

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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.