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Finding the Fourth Proportional to 301,609.40, 415,990.30 and 204,887.84

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Solution

The fourth proportional to 301,609.40, 415,990.30 and 204,887.84 is: 282,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,609.40 : 415,990.30 = 204,887.84 : x
  2. Step 2: Convert to fraction form
    301,609.40/415,990.30 = 204,887.84/x
  3. Step 3: Cross multiply
    301,609.40x = 415,990.30 × 204,887.84
  4. Step 4: Simplify right side
    301,609.40x = 85,231,354,027.95
  5. Step 5: Solve for x
    x = 85,231,354,027.95/301,609.40
  6. Step 6: Final answer
    x = 282,588.52

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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.