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Finding the Fourth Proportional to 491,412.63, 678,037.23 and 276,474.27

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Solution

The fourth proportional to 491,412.63, 678,037.23 and 276,474.27 is: 381,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,412.63 : 678,037.23 = 276,474.27 : x
  2. Step 2: Convert to fraction form
    491,412.63/678,037.23 = 276,474.27/x
  3. Step 3: Cross multiply
    491,412.63x = 678,037.23 × 276,474.27
  4. Step 4: Simplify right side
    491,412.63x = 187,459,848,197.07
  5. Step 5: Solve for x
    x = 187,459,848,197.07/491,412.63
  6. Step 6: Final answer
    x = 381,471.37

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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.