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Finding the Fourth Proportional to 297,927.20, 446,890.80 and 120,342.80

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Solution

The fourth proportional to 297,927.20, 446,890.80 and 120,342.80 is: 180,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,927.20 : 446,890.80 = 120,342.80 : x
  2. Step 2: Convert to fraction form
    297,927.20/446,890.80 = 120,342.80/x
  3. Step 3: Cross multiply
    297,927.20x = 446,890.80 × 120,342.80
  4. Step 4: Simplify right side
    297,927.20x = 53,780,090,166.24
  5. Step 5: Solve for x
    x = 53,780,090,166.24/297,927.20
  6. Step 6: Final answer
    x = 180,514.20

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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.