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Finding the Fourth Proportional to 301,041.68, 415,456.72 and 198,887.93

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Solution

The fourth proportional to 301,041.68, 415,456.72 and 198,887.93 is: 274,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,041.68 : 415,456.72 = 198,887.93 : x
  2. Step 2: Convert to fraction form
    301,041.68/415,456.72 = 198,887.93/x
  3. Step 3: Cross multiply
    301,041.68x = 415,456.72 × 198,887.93
  4. Step 4: Simplify right side
    301,041.68x = 82,629,326,028.85
  5. Step 5: Solve for x
    x = 82,629,326,028.85/301,041.68
  6. Step 6: Final answer
    x = 274,478.03

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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.