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Finding the Fourth Proportional to 491,670.92, 678,505.69 and 287,760.66

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Solution

The fourth proportional to 491,670.92, 678,505.69 and 287,760.66 is: 397,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,670.92 : 678,505.69 = 287,760.66 : x
  2. Step 2: Convert to fraction form
    491,670.92/678,505.69 = 287,760.66/x
  3. Step 3: Cross multiply
    491,670.92x = 678,505.69 × 287,760.66
  4. Step 4: Simplify right side
    491,670.92x = 195,247,244,448.75
  5. Step 5: Solve for x
    x = 195,247,244,448.75/491,670.92
  6. Step 6: Final answer
    x = 397,109.60

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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.