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Finding the Fourth Proportional to 491,863.54, 678,774 and 277,007.26

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Solution

The fourth proportional to 491,863.54, 678,774 and 277,007.26 is: 382,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,863.54 : 678,774 = 277,007.26 : x
  2. Step 2: Convert to fraction form
    491,863.54/678,774 = 277,007.26/x
  3. Step 3: Cross multiply
    491,863.54x = 678,774 × 277,007.26
  4. Step 4: Simplify right side
    491,863.54x = 188,025,325,899.24
  5. Step 5: Solve for x
    x = 188,025,325,899.24/491,863.54
  6. Step 6: Final answer
    x = 382,271.32

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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.