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Finding the Fourth Proportional to 405,192, 559,164.96 and 226,344

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Solution

The fourth proportional to 405,192, 559,164.96 and 226,344 is: 312,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,192 : 559,164.96 = 226,344 : x
  2. Step 2: Convert to fraction form
    405,192/559,164.96 = 226,344/x
  3. Step 3: Cross multiply
    405,192x = 559,164.96 × 226,344
  4. Step 4: Simplify right side
    405,192x = 126,563,633,706.24
  5. Step 5: Solve for x
    x = 126,563,633,706.24/405,192
  6. Step 6: Final answer
    x = 312,354.72

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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.