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Finding the Fourth Proportional to 491,469.75, 677,647.93 and 336,496.20

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Solution

The fourth proportional to 491,469.75, 677,647.93 and 336,496.20 is: 463,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,469.75 : 677,647.93 = 336,496.20 : x
  2. Step 2: Convert to fraction form
    491,469.75/677,647.93 = 336,496.20/x
  3. Step 3: Cross multiply
    491,469.75x = 677,647.93 × 336,496.20
  4. Step 4: Simplify right side
    491,469.75x = 228,025,953,382.87
  5. Step 5: Solve for x
    x = 228,025,953,382.87/491,469.75
  6. Step 6: Final answer
    x = 463,967.42

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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.