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Finding the Fourth Proportional to 286,575.52, 395,462.28 and 159,250

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Solution

The fourth proportional to 286,575.52, 395,462.28 and 159,250 is: 219,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,575.52 : 395,462.28 = 159,250 : x
  2. Step 2: Convert to fraction form
    286,575.52/395,462.28 = 159,250/x
  3. Step 3: Cross multiply
    286,575.52x = 395,462.28 × 159,250
  4. Step 4: Simplify right side
    286,575.52x = 62,977,368,090.00
  5. Step 5: Solve for x
    x = 62,977,368,090.00/286,575.52
  6. Step 6: Final answer
    x = 219,758.37

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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.