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Finding the Fourth Proportional to 456,073.70, 684,222.03 and 321,400.44

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Solution

The fourth proportional to 456,073.70, 684,222.03 and 321,400.44 is: 482,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,073.70 : 684,222.03 = 321,400.44 : x
  2. Step 2: Convert to fraction form
    456,073.70/684,222.03 = 321,400.44/x
  3. Step 3: Cross multiply
    456,073.70x = 684,222.03 × 321,400.44
  4. Step 4: Simplify right side
    456,073.70x = 219,909,261,499.69
  5. Step 5: Solve for x
    x = 219,909,261,499.69/456,073.70
  6. Step 6: Final answer
    x = 482,179.23

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1.5x scale

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.