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Finding the Fourth Proportional to 492,069.83, 678,974.13 and 274,230.93

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Solution

The fourth proportional to 492,069.83, 678,974.13 and 274,230.93 is: 378,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,069.83 : 678,974.13 = 274,230.93 : x
  2. Step 2: Convert to fraction form
    492,069.83/678,974.13 = 274,230.93/x
  3. Step 3: Cross multiply
    492,069.83x = 678,974.13 × 274,230.93
  4. Step 4: Simplify right side
    492,069.83x = 186,195,707,115.84
  5. Step 5: Solve for x
    x = 186,195,707,115.84/492,069.83
  6. Step 6: Final answer
    x = 378,392.85

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1.5x scale

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.