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Finding the Fourth Proportional to 301,649.62, 416,279.90 and 165,686.76

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Solution

The fourth proportional to 301,649.62, 416,279.90 and 165,686.76 is: 228,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,649.62 : 416,279.90 = 165,686.76 : x
  2. Step 2: Convert to fraction form
    301,649.62/416,279.90 = 165,686.76/x
  3. Step 3: Cross multiply
    301,649.62x = 416,279.90 × 165,686.76
  4. Step 4: Simplify right side
    301,649.62x = 68,972,067,884.12
  5. Step 5: Solve for x
    x = 68,972,067,884.12/301,649.62
  6. Step 6: Final answer
    x = 228,649.61

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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.