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Finding the Fourth Proportional to 360,311.78, 497,208.65 and 199,157.22

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Solution

The fourth proportional to 360,311.78, 497,208.65 and 199,157.22 is: 274,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,311.78 : 497,208.65 = 199,157.22 : x
  2. Step 2: Convert to fraction form
    360,311.78/497,208.65 = 199,157.22/x
  3. Step 3: Cross multiply
    360,311.78x = 497,208.65 × 199,157.22
  4. Step 4: Simplify right side
    360,311.78x = 99,022,691,498.17
  5. Step 5: Solve for x
    x = 99,022,691,498.17/360,311.78
  6. Step 6: Final answer
    x = 274,825.02

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Double scale
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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.