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Finding the Fourth Proportional to 491,830.56, 678,760.93 and 274,053.69

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Solution

The fourth proportional to 491,830.56, 678,760.93 and 274,053.69 is: 378,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,830.56 : 678,760.93 = 274,053.69 : x
  2. Step 2: Convert to fraction form
    491,830.56/678,760.93 = 274,053.69/x
  3. Step 3: Cross multiply
    491,830.56x = 678,760.93 × 274,053.69
  4. Step 4: Simplify right side
    491,830.56x = 186,016,937,836.90
  5. Step 5: Solve for x
    x = 186,016,937,836.90/491,830.56
  6. Step 6: Final answer
    x = 378,213.46

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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.