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Finding the Fourth Proportional to 405,108, 559,049.04 and 226,260

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Solution

The fourth proportional to 405,108, 559,049.04 and 226,260 is: 312,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,108 : 559,049.04 = 226,260 : x
  2. Step 2: Convert to fraction form
    405,108/559,049.04 = 226,260/x
  3. Step 3: Cross multiply
    405,108x = 559,049.04 × 226,260
  4. Step 4: Simplify right side
    405,108x = 126,490,435,790.40
  5. Step 5: Solve for x
    x = 126,490,435,790.40/405,108
  6. Step 6: Final answer
    x = 312,238.80

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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.