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Finding the Fourth Proportional to 491,830.94, 678,761.45 and 274,054.07

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Solution

The fourth proportional to 491,830.94, 678,761.45 and 274,054.07 is: 378,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,830.94 : 678,761.45 = 274,054.07 : x
  2. Step 2: Convert to fraction form
    491,830.94/678,761.45 = 274,054.07/x
  3. Step 3: Cross multiply
    491,830.94x = 678,761.45 × 274,054.07
  4. Step 4: Simplify right side
    491,830.94x = 186,017,333,167.52
  5. Step 5: Solve for x
    x = 186,017,333,167.52/491,830.94
  6. Step 6: Final answer
    x = 378,213.98

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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.