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Finding the Fourth Proportional to 321,437.68, 443,947.12 and 219,287.76

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Solution

The fourth proportional to 321,437.68, 443,947.12 and 219,287.76 is: 302,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,437.68 : 443,947.12 = 219,287.76 : x
  2. Step 2: Convert to fraction form
    321,437.68/443,947.12 = 219,287.76/x
  3. Step 3: Cross multiply
    321,437.68x = 443,947.12 × 219,287.76
  4. Step 4: Simplify right side
    321,437.68x = 97,352,169,503.25
  5. Step 5: Solve for x
    x = 97,352,169,503.25/321,437.68
  6. Step 6: Final answer
    x = 302,864.83

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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.