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Finding the Fourth Proportional to 491,670.17, 678,504.65 and 287,759.91

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Solution

The fourth proportional to 491,670.17, 678,504.65 and 287,759.91 is: 397,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,670.17 : 678,504.65 = 287,759.91 : x
  2. Step 2: Convert to fraction form
    491,670.17/678,504.65 = 287,759.91/x
  3. Step 3: Cross multiply
    491,670.17x = 678,504.65 × 287,759.91
  4. Step 4: Simplify right side
    491,670.17x = 195,246,435,926.24
  5. Step 5: Solve for x
    x = 195,246,435,926.24/491,670.17
  6. Step 6: Final answer
    x = 397,108.57

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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.