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Finding the Fourth Proportional to 427,550.85, 589,763.09 and 282,357.97

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Solution

The fourth proportional to 427,550.85, 589,763.09 and 282,357.97 is: 389,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,550.85 : 589,763.09 = 282,357.97 : x
  2. Step 2: Convert to fraction form
    427,550.85/589,763.09 = 282,357.97/x
  3. Step 3: Cross multiply
    427,550.85x = 589,763.09 × 282,357.97
  4. Step 4: Simplify right side
    427,550.85x = 166,524,306,630.41
  5. Step 5: Solve for x
    x = 166,524,306,630.41/427,550.85
  6. Step 6: Final answer
    x = 389,484.22

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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.