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Finding the Fourth Proportional to 321,303.14, 443,390.79 and 178,060.11

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Solution

The fourth proportional to 321,303.14, 443,390.79 and 178,060.11 is: 245,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,303.14 : 443,390.79 = 178,060.11 : x
  2. Step 2: Convert to fraction form
    321,303.14/443,390.79 = 178,060.11/x
  3. Step 3: Cross multiply
    321,303.14x = 443,390.79 × 178,060.11
  4. Step 4: Simplify right side
    321,303.14x = 78,950,212,840.39
  5. Step 5: Solve for x
    x = 78,950,212,840.39/321,303.14
  6. Step 6: Final answer
    x = 245,718.77

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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.