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Finding the Fourth Proportional to 491,872.16, 678,816.60 and 274,114.64

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Solution

The fourth proportional to 491,872.16, 678,816.60 and 274,114.64 is: 378,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,872.16 : 678,816.60 = 274,114.64 : x
  2. Step 2: Convert to fraction form
    491,872.16/678,816.60 = 274,114.64/x
  3. Step 3: Cross multiply
    491,872.16x = 678,816.60 × 274,114.64
  4. Step 4: Simplify right side
    491,872.16x = 186,073,567,935.02
  5. Step 5: Solve for x
    x = 186,073,567,935.02/491,872.16
  6. Step 6: Final answer
    x = 378,296.60

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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.