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Finding the Fourth Proportional to 286,851.78, 395,849.84 and 159,524.64

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Solution

The fourth proportional to 286,851.78, 395,849.84 and 159,524.64 is: 220,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,851.78 : 395,849.84 = 159,524.64 : x
  2. Step 2: Convert to fraction form
    286,851.78/395,849.84 = 159,524.64/x
  3. Step 3: Cross multiply
    286,851.78x = 395,849.84 × 159,524.64
  4. Step 4: Simplify right side
    286,851.78x = 63,147,802,422.43
  5. Step 5: Solve for x
    x = 63,147,802,422.43/286,851.78
  6. Step 6: Final answer
    x = 220,140.88

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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.