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Finding the Fourth Proportional to 326,624.37, 489,477.07 and 259,767.78

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Solution

The fourth proportional to 326,624.37, 489,477.07 and 259,767.78 is: 389,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,624.37 : 489,477.07 = 259,767.78 : x
  2. Step 2: Convert to fraction form
    326,624.37/489,477.07 = 259,767.78/x
  3. Step 3: Cross multiply
    326,624.37x = 489,477.07 × 259,767.78
  4. Step 4: Simplify right side
    326,624.37x = 127,150,371,834.81
  5. Step 5: Solve for x
    x = 127,150,371,834.81/326,624.37
  6. Step 6: Final answer
    x = 389,286.24

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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.