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Finding the Fourth Proportional to 277,012.80, 415,540.80 and 119,246.40

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Solution

The fourth proportional to 277,012.80, 415,540.80 and 119,246.40 is: 178,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,012.80 : 415,540.80 = 119,246.40 : x
  2. Step 2: Convert to fraction form
    277,012.80/415,540.80 = 119,246.40/x
  3. Step 3: Cross multiply
    277,012.80x = 415,540.80 × 119,246.40
  4. Step 4: Simplify right side
    277,012.80x = 49,551,744,453.12
  5. Step 5: Solve for x
    x = 49,551,744,453.12/277,012.80
  6. Step 6: Final answer
    x = 178,878.90

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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.