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Finding the Fourth Proportional to 320,121.80, 480,041.25 and 170,326.58

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Solution

The fourth proportional to 320,121.80, 480,041.25 and 170,326.58 is: 255,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,121.80 : 480,041.25 = 170,326.58 : x
  2. Step 2: Convert to fraction form
    320,121.80/480,041.25 = 170,326.58/x
  3. Step 3: Cross multiply
    320,121.80x = 480,041.25 × 170,326.58
  4. Step 4: Simplify right side
    320,121.80x = 81,763,784,371.43
  5. Step 5: Solve for x
    x = 81,763,784,371.43/320,121.80
  6. Step 6: Final answer
    x = 255,414.61

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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.