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Finding the Fourth Proportional to 301,649.12, 416,279.21 and 165,686.25

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Solution

The fourth proportional to 301,649.12, 416,279.21 and 165,686.25 is: 228,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,649.12 : 416,279.21 = 165,686.25 : x
  2. Step 2: Convert to fraction form
    301,649.12/416,279.21 = 165,686.25/x
  3. Step 3: Cross multiply
    301,649.12x = 416,279.21 × 165,686.25
  4. Step 4: Simplify right side
    301,649.12x = 68,971,740,429.43
  5. Step 5: Solve for x
    x = 68,971,740,429.43/301,649.12
  6. Step 6: Final answer
    x = 228,648.91

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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.