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Finding the Fourth Proportional to 301,328.45, 415,845.21 and 165,367.28

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Solution

The fourth proportional to 301,328.45, 415,845.21 and 165,367.28 is: 228,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,328.45 : 415,845.21 = 165,367.28 : x
  2. Step 2: Convert to fraction form
    301,328.45/415,845.21 = 165,367.28/x
  3. Step 3: Cross multiply
    301,328.45x = 415,845.21 × 165,367.28
  4. Step 4: Simplify right side
    301,328.45x = 68,767,189,199.50
  5. Step 5: Solve for x
    x = 68,767,189,199.50/301,328.45
  6. Step 6: Final answer
    x = 228,213.40

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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.