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Finding the Fourth Proportional to 326,289.47, 489,460.47 and 123,982.44

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Solution

The fourth proportional to 326,289.47, 489,460.47 and 123,982.44 is: 185,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,289.47 : 489,460.47 = 123,982.44 : x
  2. Step 2: Convert to fraction form
    326,289.47/489,460.47 = 123,982.44/x
  3. Step 3: Cross multiply
    326,289.47x = 489,460.47 × 123,982.44
  4. Step 4: Simplify right side
    326,289.47x = 60,684,502,797.43
  5. Step 5: Solve for x
    x = 60,684,502,797.43/326,289.47
  6. Step 6: Final answer
    x = 185,983.64

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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.