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Finding the Fourth Proportional to 286,254.60, 395,015.90 and 158,922

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Solution

The fourth proportional to 286,254.60, 395,015.90 and 158,922 is: 219,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,254.60 : 395,015.90 = 158,922 : x
  2. Step 2: Convert to fraction form
    286,254.60/395,015.90 = 158,922/x
  3. Step 3: Cross multiply
    286,254.60x = 395,015.90 × 158,922
  4. Step 4: Simplify right side
    286,254.60x = 62,776,716,859.80
  5. Step 5: Solve for x
    x = 62,776,716,859.80/286,254.60
  6. Step 6: Final answer
    x = 219,303.78

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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.