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Finding the Fourth Proportional to 456,142.17, 684,324.84 and 321,469

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Solution

The fourth proportional to 456,142.17, 684,324.84 and 321,469 is: 482,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,142.17 : 684,324.84 = 321,469 : x
  2. Step 2: Convert to fraction form
    456,142.17/684,324.84 = 321,469/x
  3. Step 3: Cross multiply
    456,142.17x = 684,324.84 × 321,469
  4. Step 4: Simplify right side
    456,142.17x = 219,989,221,989.96
  5. Step 5: Solve for x
    x = 219,989,221,989.96/456,142.17
  6. Step 6: Final answer
    x = 482,282.14

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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.