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Finding the Fourth Proportional to 301,380.32, 415,905.36 and 165,415.16

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Solution

The fourth proportional to 301,380.32, 415,905.36 and 165,415.16 is: 228,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,380.32 : 415,905.36 = 165,415.16 : x
  2. Step 2: Convert to fraction form
    301,380.32/415,905.36 = 165,415.16/x
  3. Step 3: Cross multiply
    301,380.32x = 415,905.36 × 165,415.16
  4. Step 4: Simplify right side
    301,380.32x = 68,797,051,669.26
  5. Step 5: Solve for x
    x = 68,797,051,669.26/301,380.32
  6. Step 6: Final answer
    x = 228,273.21

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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.