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Finding the Fourth Proportional to 277,770.80, 416,675.76 and 137,491.76

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Solution

The fourth proportional to 277,770.80, 416,675.76 and 137,491.76 is: 206,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,770.80 : 416,675.76 = 137,491.76 : x
  2. Step 2: Convert to fraction form
    277,770.80/416,675.76 = 137,491.76/x
  3. Step 3: Cross multiply
    277,770.80x = 416,675.76 × 137,491.76
  4. Step 4: Simplify right side
    277,770.80x = 57,289,483,591.74
  5. Step 5: Solve for x
    x = 57,289,483,591.74/277,770.80
  6. Step 6: Final answer
    x = 206,247.32

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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.