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Finding the Fourth Proportional to 405,121.34, 559,078.72 and 223,844.94

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Solution

The fourth proportional to 405,121.34, 559,078.72 and 223,844.94 is: 308,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,121.34 : 559,078.72 = 223,844.94 : x
  2. Step 2: Convert to fraction form
    405,121.34/559,078.72 = 223,844.94/x
  3. Step 3: Cross multiply
    405,121.34x = 559,078.72 × 223,844.94
  4. Step 4: Simplify right side
    405,121.34x = 125,146,942,812.15
  5. Step 5: Solve for x
    x = 125,146,942,812.15/405,121.34
  6. Step 6: Final answer
    x = 308,912.25

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1.5x scale

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.