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Finding the Fourth Proportional to 286,156.70, 428,662.78 and 172,241.94

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Solution

The fourth proportional to 286,156.70, 428,662.78 and 172,241.94 is: 258,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,156.70 : 428,662.78 = 172,241.94 : x
  2. Step 2: Convert to fraction form
    286,156.70/428,662.78 = 172,241.94/x
  3. Step 3: Cross multiply
    286,156.70x = 428,662.78 × 172,241.94
  4. Step 4: Simplify right side
    286,156.70x = 73,833,710,978.73
  5. Step 5: Solve for x
    x = 73,833,710,978.73/286,156.70
  6. Step 6: Final answer
    x = 258,018.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.