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Finding the Fourth Proportional to 321,300, 443,394 and 220,756.32

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Solution

The fourth proportional to 321,300, 443,394 and 220,756.32 is: 304,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,300 : 443,394 = 220,756.32 : x
  2. Step 2: Convert to fraction form
    321,300/443,394 = 220,756.32/x
  3. Step 3: Cross multiply
    321,300x = 443,394 × 220,756.32
  4. Step 4: Simplify right side
    321,300x = 97,882,027,750.08
  5. Step 5: Solve for x
    x = 97,882,027,750.08/321,300
  6. Step 6: Final answer
    x = 304,643.72

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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.