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Finding the Fourth Proportional to 301,009.78, 415,412.14 and 166,873.78

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Solution

The fourth proportional to 301,009.78, 415,412.14 and 166,873.78 is: 230,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,009.78 : 415,412.14 = 166,873.78 : x
  2. Step 2: Convert to fraction form
    301,009.78/415,412.14 = 166,873.78/x
  3. Step 3: Cross multiply
    301,009.78x = 415,412.14 × 166,873.78
  4. Step 4: Simplify right side
    301,009.78x = 69,321,394,059.69
  5. Step 5: Solve for x
    x = 69,321,394,059.69/301,009.78
  6. Step 6: Final answer
    x = 230,296.15

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1.5x scale

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.