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Finding the Fourth Proportional to 491,511, 678,168.54 and 276,608.28

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Solution

The fourth proportional to 491,511, 678,168.54 and 276,608.28 is: 381,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,511 : 678,168.54 = 276,608.28 : x
  2. Step 2: Convert to fraction form
    491,511/678,168.54 = 276,608.28/x
  3. Step 3: Cross multiply
    491,511x = 678,168.54 × 276,608.28
  4. Step 4: Simplify right side
    491,511x = 187,587,033,399.51
  5. Step 5: Solve for x
    x = 187,587,033,399.51/491,511
  6. Step 6: Final answer
    x = 381,653.78

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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.