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Finding the Fourth Proportional to 297,978.14, 446,957.26 and 129,498.48

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Solution

The fourth proportional to 297,978.14, 446,957.26 and 129,498.48 is: 194,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,978.14 : 446,957.26 = 129,498.48 : x
  2. Step 2: Convert to fraction form
    297,978.14/446,957.26 = 129,498.48/x
  3. Step 3: Cross multiply
    297,978.14x = 446,957.26 × 129,498.48
  4. Step 4: Simplify right side
    297,978.14x = 57,880,285,471.22
  5. Step 5: Solve for x
    x = 57,880,285,471.22/297,978.14
  6. Step 6: Final answer
    x = 194,243.39

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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.