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Finding the Fourth Proportional to 326,109.60, 489,164.40 and 166,677.30

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Solution

The fourth proportional to 326,109.60, 489,164.40 and 166,677.30 is: 250,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,109.60 : 489,164.40 = 166,677.30 : x
  2. Step 2: Convert to fraction form
    326,109.60/489,164.40 = 166,677.30/x
  3. Step 3: Cross multiply
    326,109.60x = 489,164.40 × 166,677.30
  4. Step 4: Simplify right side
    326,109.60x = 81,532,601,448.12
  5. Step 5: Solve for x
    x = 81,532,601,448.12/326,109.60
  6. Step 6: Final answer
    x = 250,015.95

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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.