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Finding the Fourth Proportional to 301,311.80, 415,813.45 and 165,354.56

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Solution

The fourth proportional to 301,311.80, 415,813.45 and 165,354.56 is: 228,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,311.80 : 415,813.45 = 165,354.56 : x
  2. Step 2: Convert to fraction form
    301,311.80/415,813.45 = 165,354.56/x
  3. Step 3: Cross multiply
    301,311.80x = 415,813.45 × 165,354.56
  4. Step 4: Simplify right side
    301,311.80x = 68,756,651,782.67
  5. Step 5: Solve for x
    x = 68,756,651,782.67/301,311.80
  6. Step 6: Final answer
    x = 228,191.04

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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.