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Finding the Fourth Proportional to 382,894.67, 574,342.14 and 172,286.57

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Solution

The fourth proportional to 382,894.67, 574,342.14 and 172,286.57 is: 258,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,894.67 : 574,342.14 = 172,286.57 : x
  2. Step 2: Convert to fraction form
    382,894.67/574,342.14 = 172,286.57/x
  3. Step 3: Cross multiply
    382,894.67x = 574,342.14 × 172,286.57
  4. Step 4: Simplify right side
    382,894.67x = 98,951,437,307.06
  5. Step 5: Solve for x
    x = 98,951,437,307.06/382,894.67
  6. Step 6: Final answer
    x = 258,429.92

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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.