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Finding the Fourth Proportional to 301,358.07, 415,770.89 and 172,203.75

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Solution

The fourth proportional to 301,358.07, 415,770.89 and 172,203.75 is: 237,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,358.07 : 415,770.89 = 172,203.75 : x
  2. Step 2: Convert to fraction form
    301,358.07/415,770.89 = 172,203.75/x
  3. Step 3: Cross multiply
    301,358.07x = 415,770.89 × 172,203.75
  4. Step 4: Simplify right side
    301,358.07x = 71,597,305,537.82
  5. Step 5: Solve for x
    x = 71,597,305,537.82/301,358.07
  6. Step 6: Final answer
    x = 237,582.17

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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.