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Finding the Fourth Proportional to 301,455, 416,009.52 and 188,343.36

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Solution

The fourth proportional to 301,455, 416,009.52 and 188,343.36 is: 259,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,455 : 416,009.52 = 188,343.36 : x
  2. Step 2: Convert to fraction form
    301,455/416,009.52 = 188,343.36/x
  3. Step 3: Cross multiply
    301,455x = 416,009.52 × 188,343.36
  4. Step 4: Simplify right side
    301,455x = 78,352,630,788.79
  5. Step 5: Solve for x
    x = 78,352,630,788.79/301,455
  6. Step 6: Final answer
    x = 259,914.85

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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.