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Finding the Fourth Proportional to 360,910, 498,003.67 and 199,764.66

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Solution

The fourth proportional to 360,910, 498,003.67 and 199,764.66 is: 275,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,910 : 498,003.67 = 199,764.66 : x
  2. Step 2: Convert to fraction form
    360,910/498,003.67 = 199,764.66/x
  3. Step 3: Cross multiply
    360,910x = 498,003.67 × 199,764.66
  4. Step 4: Simplify right side
    360,910x = 99,483,533,816.30
  5. Step 5: Solve for x
    x = 99,483,533,816.30/360,910
  6. Step 6: Final answer
    x = 275,646.38

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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.