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Finding the Fourth Proportional to 491,069.32, 677,682.66 and 289,865.32

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Solution

The fourth proportional to 491,069.32, 677,682.66 and 289,865.32 is: 400,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,069.32 : 677,682.66 = 289,865.32 : x
  2. Step 2: Convert to fraction form
    491,069.32/677,682.66 = 289,865.32/x
  3. Step 3: Cross multiply
    491,069.32x = 677,682.66 × 289,865.32
  4. Step 4: Simplify right side
    491,069.32x = 196,436,701,099.35
  5. Step 5: Solve for x
    x = 196,436,701,099.35/491,069.32
  6. Step 6: Final answer
    x = 400,018.27

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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.