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Finding the Fourth Proportional to 321,678.98, 482,834.21 and 268,711.20

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Solution

The fourth proportional to 321,678.98, 482,834.21 and 268,711.20 is: 403,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,678.98 : 482,834.21 = 268,711.20 : x
  2. Step 2: Convert to fraction form
    321,678.98/482,834.21 = 268,711.20/x
  3. Step 3: Cross multiply
    321,678.98x = 482,834.21 × 268,711.20
  4. Step 4: Simplify right side
    321,678.98x = 129,742,958,626.60
  5. Step 5: Solve for x
    x = 129,742,958,626.60/321,678.98
  6. Step 6: Final answer
    x = 403,330.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.