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Finding the Fourth Proportional to 405,079.44, 558,998.82 and 223,762.14

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Solution

The fourth proportional to 405,079.44, 558,998.82 and 223,762.14 is: 308,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,079.44 : 558,998.82 = 223,762.14 : x
  2. Step 2: Convert to fraction form
    405,079.44/558,998.82 = 223,762.14/x
  3. Step 3: Cross multiply
    405,079.44x = 558,998.82 × 223,762.14
  4. Step 4: Simplify right side
    405,079.44x = 125,082,772,220.68
  5. Step 5: Solve for x
    x = 125,082,772,220.68/405,079.44
  6. Step 6: Final answer
    x = 308,785.78

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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.