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Finding the Fourth Proportional to 301,042.05, 415,457.24 and 198,888.30

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Solution

The fourth proportional to 301,042.05, 415,457.24 and 198,888.30 is: 274,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,042.05 : 415,457.24 = 198,888.30 : x
  2. Step 2: Convert to fraction form
    301,042.05/415,457.24 = 198,888.30/x
  3. Step 3: Cross multiply
    301,042.05x = 415,457.24 × 198,888.30
  4. Step 4: Simplify right side
    301,042.05x = 82,629,583,191.85
  5. Step 5: Solve for x
    x = 82,629,583,191.85/301,042.05
  6. Step 6: Final answer
    x = 274,478.54

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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.