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Finding the Fourth Proportional to 492,068.58, 678,972.41 and 274,229.68

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Solution

The fourth proportional to 492,068.58, 678,972.41 and 274,229.68 is: 378,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,068.58 : 678,972.41 = 274,229.68 : x
  2. Step 2: Convert to fraction form
    492,068.58/678,972.41 = 274,229.68/x
  3. Step 3: Cross multiply
    492,068.58x = 678,972.41 × 274,229.68
  4. Step 4: Simplify right side
    492,068.58x = 186,194,381,957.12
  5. Step 5: Solve for x
    x = 186,194,381,957.12/492,068.58
  6. Step 6: Final answer
    x = 378,391.13

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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.