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Finding the Fourth Proportional to 275,969.68, 413,659.80 and 157,385.68

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Solution

The fourth proportional to 275,969.68, 413,659.80 and 157,385.68 is: 235,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,969.68 : 413,659.80 = 157,385.68 : x
  2. Step 2: Convert to fraction form
    275,969.68/413,659.80 = 157,385.68/x
  3. Step 3: Cross multiply
    275,969.68x = 413,659.80 × 157,385.68
  4. Step 4: Simplify right side
    275,969.68x = 65,104,128,911.66
  5. Step 5: Solve for x
    x = 65,104,128,911.66/275,969.68
  6. Step 6: Final answer
    x = 235,910.44

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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.