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Finding the Fourth Proportional to 427,984.84, 642,084 and 128,470.96

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Solution

The fourth proportional to 427,984.84, 642,084 and 128,470.96 is: 192,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,984.84 : 642,084 = 128,470.96 : x
  2. Step 2: Convert to fraction form
    427,984.84/642,084 = 128,470.96/x
  3. Step 3: Cross multiply
    427,984.84x = 642,084 × 128,470.96
  4. Step 4: Simplify right side
    427,984.84x = 82,489,147,880.64
  5. Step 5: Solve for x
    x = 82,489,147,880.64/427,984.84
  6. Step 6: Final answer
    x = 192,738.48

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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.