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Finding the Fourth Proportional to 405,143.40, 559,109.19 and 223,867.08

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Solution

The fourth proportional to 405,143.40, 559,109.19 and 223,867.08 is: 308,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,143.40 : 559,109.19 = 223,867.08 : x
  2. Step 2: Convert to fraction form
    405,143.40/559,109.19 = 223,867.08/x
  3. Step 3: Cross multiply
    405,143.40x = 559,109.19 × 223,867.08
  4. Step 4: Simplify right side
    405,143.40x = 125,166,141,766.47
  5. Step 5: Solve for x
    x = 125,166,141,766.47/405,143.40
  6. Step 6: Final answer
    x = 308,942.81

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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.