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Finding the Fourth Proportional to 427,812, 589,061.80 and 379,982.28

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Solution

The fourth proportional to 427,812, 589,061.80 and 379,982.28 is: 523,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,812 : 589,061.80 = 379,982.28 : x
  2. Step 2: Convert to fraction form
    427,812/589,061.80 = 379,982.28/x
  3. Step 3: Cross multiply
    427,812x = 589,061.80 × 379,982.28
  4. Step 4: Simplify right side
    427,812x = 223,833,045,824.90
  5. Step 5: Solve for x
    x = 223,833,045,824.90/427,812
  6. Step 6: Final answer
    x = 523,204.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.