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Finding the Fourth Proportional to 301,308.12, 415,804.06 and 165,344.32

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Solution

The fourth proportional to 301,308.12, 415,804.06 and 165,344.32 is: 228,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,308.12 : 415,804.06 = 165,344.32 : x
  2. Step 2: Convert to fraction form
    301,308.12/415,804.06 = 165,344.32/x
  3. Step 3: Cross multiply
    301,308.12x = 415,804.06 × 165,344.32
  4. Step 4: Simplify right side
    301,308.12x = 68,750,839,553.94
  5. Step 5: Solve for x
    x = 68,750,839,553.94/301,308.12
  6. Step 6: Final answer
    x = 228,174.53

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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.