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Finding the Fourth Proportional to 656,367.75, 905,788.31 and 354,561.75

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Solution

The fourth proportional to 656,367.75, 905,788.31 and 354,561.75 is: 489,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,367.75 : 905,788.31 = 354,561.75 : x
  2. Step 2: Convert to fraction form
    656,367.75/905,788.31 = 354,561.75/x
  3. Step 3: Cross multiply
    656,367.75x = 905,788.31 × 354,561.75
  4. Step 4: Simplify right side
    656,367.75x = 321,157,886,550.33
  5. Step 5: Solve for x
    x = 321,157,886,550.33/656,367.75
  6. Step 6: Final answer
    x = 489,295.65

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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.