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Finding the Fourth Proportional to 307,164.70, 423,921.63 and 171,211.06

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Solution

The fourth proportional to 307,164.70, 423,921.63 and 171,211.06 is: 236,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,164.70 : 423,921.63 = 171,211.06 : x
  2. Step 2: Convert to fraction form
    307,164.70/423,921.63 = 171,211.06/x
  3. Step 3: Cross multiply
    307,164.70x = 423,921.63 × 171,211.06
  4. Step 4: Simplify right side
    307,164.70x = 72,580,071,629.23
  5. Step 5: Solve for x
    x = 72,580,071,629.23/307,164.70
  6. Step 6: Final answer
    x = 236,290.41

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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.