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Finding the Fourth Proportional to 399,858.40, 598,815.60 and 212,456.80

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Solution

The fourth proportional to 399,858.40, 598,815.60 and 212,456.80 is: 318,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,858.40 : 598,815.60 = 212,456.80 : x
  2. Step 2: Convert to fraction form
    399,858.40/598,815.60 = 212,456.80/x
  3. Step 3: Cross multiply
    399,858.40x = 598,815.60 × 212,456.80
  4. Step 4: Simplify right side
    399,858.40x = 127,222,446,166.08
  5. Step 5: Solve for x
    x = 127,222,446,166.08/399,858.40
  6. Step 6: Final answer
    x = 318,168.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.