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Finding the Fourth Proportional to 321,338.10, 482,007.15 and 163,874.10

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Solution

The fourth proportional to 321,338.10, 482,007.15 and 163,874.10 is: 245,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,338.10 : 482,007.15 = 163,874.10 : x
  2. Step 2: Convert to fraction form
    321,338.10/482,007.15 = 163,874.10/x
  3. Step 3: Cross multiply
    321,338.10x = 482,007.15 × 163,874.10
  4. Step 4: Simplify right side
    321,338.10x = 78,988,487,899.82
  5. Step 5: Solve for x
    x = 78,988,487,899.82/321,338.10
  6. Step 6: Final answer
    x = 245,811.15

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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.