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Finding the Fourth Proportional to 305,055, 420,975.90 and 185,823

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Solution

The fourth proportional to 305,055, 420,975.90 and 185,823 is: 256,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,055 : 420,975.90 = 185,823 : x
  2. Step 2: Convert to fraction form
    305,055/420,975.90 = 185,823/x
  3. Step 3: Cross multiply
    305,055x = 420,975.90 × 185,823
  4. Step 4: Simplify right side
    305,055x = 78,227,004,665.70
  5. Step 5: Solve for x
    x = 78,227,004,665.70/305,055
  6. Step 6: Final answer
    x = 256,435.74

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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.