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Finding the Fourth Proportional to 321,239.36, 443,298.36 and 185,278.88

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Solution

The fourth proportional to 321,239.36, 443,298.36 and 185,278.88 is: 255,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,239.36 : 443,298.36 = 185,278.88 : x
  2. Step 2: Convert to fraction form
    321,239.36/443,298.36 = 185,278.88/x
  3. Step 3: Cross multiply
    321,239.36x = 443,298.36 × 185,278.88
  4. Step 4: Simplify right side
    321,239.36x = 82,133,823,646.64
  5. Step 5: Solve for x
    x = 82,133,823,646.64/321,239.36
  6. Step 6: Final answer
    x = 255,677.96

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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.