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Finding the Fourth Proportional to 491,314.56, 678,009.68 and 276,450.32

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Solution

The fourth proportional to 491,314.56, 678,009.68 and 276,450.32 is: 381,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,314.56 : 678,009.68 = 276,450.32 : x
  2. Step 2: Convert to fraction form
    491,314.56/678,009.68 = 276,450.32/x
  3. Step 3: Cross multiply
    491,314.56x = 678,009.68 × 276,450.32
  4. Step 4: Simplify right side
    491,314.56x = 187,435,992,999.10
  5. Step 5: Solve for x
    x = 187,435,992,999.10/491,314.56
  6. Step 6: Final answer
    x = 381,498.96

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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.