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Finding the Fourth Proportional to 408,920.51, 613,933.89 and 282,245.81

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Solution

The fourth proportional to 408,920.51, 613,933.89 and 282,245.81 is: 423,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,920.51 : 613,933.89 = 282,245.81 : x
  2. Step 2: Convert to fraction form
    408,920.51/613,933.89 = 282,245.81/x
  3. Step 3: Cross multiply
    408,920.51x = 613,933.89 × 282,245.81
  4. Step 4: Simplify right side
    408,920.51x = 173,280,268,069.50
  5. Step 5: Solve for x
    x = 173,280,268,069.50/408,920.51
  6. Step 6: Final answer
    x = 423,750.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.