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Finding the Fourth Proportional to 321,678.47, 482,833.46 and 268,710.70

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Solution

The fourth proportional to 321,678.47, 482,833.46 and 268,710.70 is: 403,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,678.47 : 482,833.46 = 268,710.70 : x
  2. Step 2: Convert to fraction form
    321,678.47/482,833.46 = 268,710.70/x
  3. Step 3: Cross multiply
    321,678.47x = 482,833.46 × 268,710.70
  4. Step 4: Simplify right side
    321,678.47x = 129,742,515,878.53
  5. Step 5: Solve for x
    x = 129,742,515,878.53/321,678.47
  6. Step 6: Final answer
    x = 403,329.81

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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.