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Finding the Fourth Proportional to 329,065.36, 492,940.32 and 151,328.80

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Solution

The fourth proportional to 329,065.36, 492,940.32 and 151,328.80 is: 226,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,065.36 : 492,940.32 = 151,328.80 : x
  2. Step 2: Convert to fraction form
    329,065.36/492,940.32 = 151,328.80/x
  3. Step 3: Cross multiply
    329,065.36x = 492,940.32 × 151,328.80
  4. Step 4: Simplify right side
    329,065.36x = 74,596,067,097.22
  5. Step 5: Solve for x
    x = 74,596,067,097.22/329,065.36
  6. Step 6: Final answer
    x = 226,690.73

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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.