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Finding the Fourth Proportional to 275,486.40, 413,229.60 and 186,256.80

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Solution

The fourth proportional to 275,486.40, 413,229.60 and 186,256.80 is: 279,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,486.40 : 413,229.60 = 186,256.80 : x
  2. Step 2: Convert to fraction form
    275,486.40/413,229.60 = 186,256.80/x
  3. Step 3: Cross multiply
    275,486.40x = 413,229.60 × 186,256.80
  4. Step 4: Simplify right side
    275,486.40x = 76,966,822,961.28
  5. Step 5: Solve for x
    x = 76,966,822,961.28/275,486.40
  6. Step 6: Final answer
    x = 279,385.20

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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.