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Finding the Fourth Proportional to 326,739.92, 489,254.52 and 214,065.68

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Solution

The fourth proportional to 326,739.92, 489,254.52 and 214,065.68 is: 320,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,739.92 : 489,254.52 = 214,065.68 : x
  2. Step 2: Convert to fraction form
    326,739.92/489,254.52 = 214,065.68/x
  3. Step 3: Cross multiply
    326,739.92x = 489,254.52 × 214,065.68
  4. Step 4: Simplify right side
    326,739.92x = 104,732,601,516.87
  5. Step 5: Solve for x
    x = 104,732,601,516.87/326,739.92
  6. Step 6: Final answer
    x = 320,538.13

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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.