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Finding the Fourth Proportional to 321,270, 443,362.32 and 178,016.64

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Solution

The fourth proportional to 321,270, 443,362.32 and 178,016.64 is: 245,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,270 : 443,362.32 = 178,016.64 : x
  2. Step 2: Convert to fraction form
    321,270/443,362.32 = 178,016.64/x
  3. Step 3: Cross multiply
    321,270x = 443,362.32 × 178,016.64
  4. Step 4: Simplify right side
    321,270x = 78,925,870,509.00
  5. Step 5: Solve for x
    x = 78,925,870,509.00/321,270
  6. Step 6: Final answer
    x = 245,668.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.