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Finding the Fourth Proportional to 382,757.96, 572,732.75 and 319,421.73

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Solution

The fourth proportional to 382,757.96, 572,732.75 and 319,421.73 is: 477,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,757.96 : 572,732.75 = 319,421.73 : x
  2. Step 2: Convert to fraction form
    382,757.96/572,732.75 = 319,421.73/x
  3. Step 3: Cross multiply
    382,757.96x = 572,732.75 × 319,421.73
  4. Step 4: Simplify right side
    382,757.96x = 182,943,284,235.55
  5. Step 5: Solve for x
    x = 182,943,284,235.55/382,757.96
  6. Step 6: Final answer
    x = 477,960.76

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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.