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Finding the Fourth Proportional to 405,143.51, 559,049.42 and 223,844.27

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Solution

The fourth proportional to 405,143.51, 559,049.42 and 223,844.27 is: 308,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,143.51 : 559,049.42 = 223,844.27 : x
  2. Step 2: Convert to fraction form
    405,143.51/559,049.42 = 223,844.27/x
  3. Step 3: Cross multiply
    405,143.51x = 559,049.42 × 223,844.27
  4. Step 4: Simplify right side
    405,143.51x = 125,140,006,518.58
  5. Step 5: Solve for x
    x = 125,140,006,518.58/405,143.51
  6. Step 6: Final answer
    x = 308,878.22

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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.