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Finding the Fourth Proportional to 326,074.16, 489,861.84 and 230,232.80

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Solution

The fourth proportional to 326,074.16, 489,861.84 and 230,232.80 is: 345,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,074.16 : 489,861.84 = 230,232.80 : x
  2. Step 2: Convert to fraction form
    326,074.16/489,861.84 = 230,232.80/x
  3. Step 3: Cross multiply
    326,074.16x = 489,861.84 × 230,232.80
  4. Step 4: Simplify right side
    326,074.16x = 112,782,263,036.35
  5. Step 5: Solve for x
    x = 112,782,263,036.35/326,074.16
  6. Step 6: Final answer
    x = 345,879.18

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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.