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Finding the Fourth Proportional to 291,266.76, 402,072.50 and 195,828.80

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Solution

The fourth proportional to 291,266.76, 402,072.50 and 195,828.80 is: 270,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,266.76 : 402,072.50 = 195,828.80 : x
  2. Step 2: Convert to fraction form
    291,266.76/402,072.50 = 195,828.80/x
  3. Step 3: Cross multiply
    291,266.76x = 402,072.50 × 195,828.80
  4. Step 4: Simplify right side
    291,266.76x = 78,737,375,188
  5. Step 5: Solve for x
    x = 78,737,375,188/291,266.76
  6. Step 6: Final answer
    x = 270,327.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.