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Finding the Fourth Proportional to 382,893.67, 574,340.64 and 172,285.57

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Solution

The fourth proportional to 382,893.67, 574,340.64 and 172,285.57 is: 258,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,893.67 : 574,340.64 = 172,285.57 : x
  2. Step 2: Convert to fraction form
    382,893.67/574,340.64 = 172,285.57/x
  3. Step 3: Cross multiply
    382,893.67x = 574,340.64 × 172,285.57
  4. Step 4: Simplify right side
    382,893.67x = 98,950,604,536.56
  5. Step 5: Solve for x
    x = 98,950,604,536.56/382,893.67
  6. Step 6: Final answer
    x = 258,428.42

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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.