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Finding the Fourth Proportional to 405,114.82, 559,010.78 and 223,815.94

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Solution

The fourth proportional to 405,114.82, 559,010.78 and 223,815.94 is: 308,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,114.82 : 559,010.78 = 223,815.94 : x
  2. Step 2: Convert to fraction form
    405,114.82/559,010.78 = 223,815.94/x
  3. Step 3: Cross multiply
    405,114.82x = 559,010.78 × 223,815.94
  4. Step 4: Simplify right side
    405,114.82x = 125,115,523,195.83
  5. Step 5: Solve for x
    x = 125,115,523,195.83/405,114.82
  6. Step 6: Final answer
    x = 308,839.66

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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.