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Finding the Fourth Proportional to 275,811.80, 413,717.70 and 256,128.80

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Solution

The fourth proportional to 275,811.80, 413,717.70 and 256,128.80 is: 384,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,811.80 : 413,717.70 = 256,128.80 : x
  2. Step 2: Convert to fraction form
    275,811.80/413,717.70 = 256,128.80/x
  3. Step 3: Cross multiply
    275,811.80x = 413,717.70 × 256,128.80
  4. Step 4: Simplify right side
    275,811.80x = 105,965,018,039.76
  5. Step 5: Solve for x
    x = 105,965,018,039.76/275,811.80
  6. Step 6: Final answer
    x = 384,193.20

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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.