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Finding the Fourth Proportional to 491,952.96, 678,663.13 and 287,878.70

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Solution

The fourth proportional to 491,952.96, 678,663.13 and 287,878.70 is: 397,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,952.96 : 678,663.13 = 287,878.70 : x
  2. Step 2: Convert to fraction form
    491,952.96/678,663.13 = 287,878.70/x
  3. Step 3: Cross multiply
    491,952.96x = 678,663.13 × 287,878.70
  4. Step 4: Simplify right side
    491,952.96x = 195,372,659,602.33
  5. Step 5: Solve for x
    x = 195,372,659,602.33/491,952.96
  6. Step 6: Final answer
    x = 397,136.87

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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.