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Finding the Fourth Proportional to 491,524.35, 678,141.39 and 400,724.21

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Solution

The fourth proportional to 491,524.35, 678,141.39 and 400,724.21 is: 552,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,524.35 : 678,141.39 = 400,724.21 : x
  2. Step 2: Convert to fraction form
    491,524.35/678,141.39 = 400,724.21/x
  3. Step 3: Cross multiply
    491,524.35x = 678,141.39 × 400,724.21
  4. Step 4: Simplify right side
    491,524.35x = 271,747,674,847.08
  5. Step 5: Solve for x
    x = 271,747,674,847.08/491,524.35
  6. Step 6: Final answer
    x = 552,867.16

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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.