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Finding the Fourth Proportional to 301,459, 416,015.04 and 188,347.36

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Solution

The fourth proportional to 301,459, 416,015.04 and 188,347.36 is: 259,920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,459 : 416,015.04 = 188,347.36 : x
  2. Step 2: Convert to fraction form
    301,459/416,015.04 = 188,347.36/x
  3. Step 3: Cross multiply
    301,459x = 416,015.04 × 188,347.36
  4. Step 4: Simplify right side
    301,459x = 78,355,334,504.29
  5. Step 5: Solve for x
    x = 78,355,334,504.29/301,459
  6. Step 6: Final answer
    x = 259,920.37

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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.