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Finding the Fourth Proportional to 491,544.18, 678,382.02 and 300,684.60

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Solution

The fourth proportional to 491,544.18, 678,382.02 and 300,684.60 is: 414,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,544.18 : 678,382.02 = 300,684.60 : x
  2. Step 2: Convert to fraction form
    491,544.18/678,382.02 = 300,684.60/x
  3. Step 3: Cross multiply
    491,544.18x = 678,382.02 × 300,684.60
  4. Step 4: Simplify right side
    491,544.18x = 203,979,026,330.89
  5. Step 5: Solve for x
    x = 203,979,026,330.89/491,544.18
  6. Step 6: Final answer
    x = 414,975.98

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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.