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Finding the Fourth Proportional to 491,314.30, 678,009.34 and 276,450.07

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Solution

The fourth proportional to 491,314.30, 678,009.34 and 276,450.07 is: 381,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,314.30 : 678,009.34 = 276,450.07 : x
  2. Step 2: Convert to fraction form
    491,314.30/678,009.34 = 276,450.07/x
  3. Step 3: Cross multiply
    491,314.30x = 678,009.34 × 276,450.07
  4. Step 4: Simplify right side
    491,314.30x = 187,435,729,503.65
  5. Step 5: Solve for x
    x = 187,435,729,503.65/491,314.30
  6. Step 6: Final answer
    x = 381,498.62

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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.