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Finding the Fourth Proportional to 405,765, 559,957.62 and 226,917

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Solution

The fourth proportional to 405,765, 559,957.62 and 226,917 is: 313,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,765 : 559,957.62 = 226,917 : x
  2. Step 2: Convert to fraction form
    405,765/559,957.62 = 226,917/x
  3. Step 3: Cross multiply
    405,765x = 559,957.62 × 226,917
  4. Step 4: Simplify right side
    405,765x = 127,063,903,257.54
  5. Step 5: Solve for x
    x = 127,063,903,257.54/405,765
  6. Step 6: Final answer
    x = 313,146.53

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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.