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Finding the Fourth Proportional to 321,187.87, 481,256.21 and 194,443.95

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Solution

The fourth proportional to 321,187.87, 481,256.21 and 194,443.95 is: 291,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,187.87 : 481,256.21 = 194,443.95 : x
  2. Step 2: Convert to fraction form
    321,187.87/481,256.21 = 194,443.95/x
  3. Step 3: Cross multiply
    321,187.87x = 481,256.21 × 194,443.95
  4. Step 4: Simplify right side
    321,187.87x = 93,577,358,920.54
  5. Step 5: Solve for x
    x = 93,577,358,920.54/321,187.87
  6. Step 6: Final answer
    x = 291,347.74

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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.