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Finding the Fourth Proportional to 275,498.37, 380,213.77 and 160,767.74

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Solution

The fourth proportional to 275,498.37, 380,213.77 and 160,767.74 is: 221,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,498.37 : 380,213.77 = 160,767.74 : x
  2. Step 2: Convert to fraction form
    275,498.37/380,213.77 = 160,767.74/x
  3. Step 3: Cross multiply
    275,498.37x = 380,213.77 × 160,767.74
  4. Step 4: Simplify right side
    275,498.37x = 61,126,108,519.78
  5. Step 5: Solve for x
    x = 61,126,108,519.78/275,498.37
  6. Step 6: Final answer
    x = 221,874.66

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1.5x scale

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.