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Finding the Fourth Proportional to 491,644.70, 678,488.60 and 284,920.18

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Solution

The fourth proportional to 491,644.70, 678,488.60 and 284,920.18 is: 393,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,644.70 : 678,488.60 = 284,920.18 : x
  2. Step 2: Convert to fraction form
    491,644.70/678,488.60 = 284,920.18/x
  3. Step 3: Cross multiply
    491,644.70x = 678,488.60 × 284,920.18
  4. Step 4: Simplify right side
    491,644.70x = 193,315,096,872.53
  5. Step 5: Solve for x
    x = 193,315,096,872.53/491,644.70
  6. Step 6: Final answer
    x = 393,200.81

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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.