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Finding the Fourth Proportional to 491,300.76, 678,025.96 and 297,725.42

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Solution

The fourth proportional to 491,300.76, 678,025.96 and 297,725.42 is: 410,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,300.76 : 678,025.96 = 297,725.42 : x
  2. Step 2: Convert to fraction form
    491,300.76/678,025.96 = 297,725.42/x
  3. Step 3: Cross multiply
    491,300.76x = 678,025.96 × 297,725.42
  4. Step 4: Simplify right side
    491,300.76x = 201,865,564,662.66
  5. Step 5: Solve for x
    x = 201,865,564,662.66/491,300.76
  6. Step 6: Final answer
    x = 410,879.81

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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.