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Finding the Fourth Proportional to 321,482.54, 443,760.72 and 219,434.96

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Solution

The fourth proportional to 321,482.54, 443,760.72 and 219,434.96 is: 302,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,482.54 : 443,760.72 = 219,434.96 : x
  2. Step 2: Convert to fraction form
    321,482.54/443,760.72 = 219,434.96/x
  3. Step 3: Cross multiply
    321,482.54x = 443,760.72 × 219,434.96
  4. Step 4: Simplify right side
    321,482.54x = 97,376,615,842.77
  5. Step 5: Solve for x
    x = 97,376,615,842.77/321,482.54
  6. Step 6: Final answer
    x = 302,898.61

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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.