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Finding the Fourth Proportional to 405,074.66, 559,014.31 and 223,798.28

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Solution

The fourth proportional to 405,074.66, 559,014.31 and 223,798.28 is: 308,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,074.66 : 559,014.31 = 223,798.28 : x
  2. Step 2: Convert to fraction form
    405,074.66/559,014.31 = 223,798.28/x
  3. Step 3: Cross multiply
    405,074.66x = 559,014.31 × 223,798.28
  4. Step 4: Simplify right side
    405,074.66x = 125,106,438,558.06
  5. Step 5: Solve for x
    x = 125,106,438,558.06/405,074.66
  6. Step 6: Final answer
    x = 308,847.86

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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.