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Finding the Fourth Proportional to 384,926.29, 531,151.91 and 212,821

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Solution

The fourth proportional to 384,926.29, 531,151.91 and 212,821 is: 293,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,926.29 : 531,151.91 = 212,821 : x
  2. Step 2: Convert to fraction form
    384,926.29/531,151.91 = 212,821/x
  3. Step 3: Cross multiply
    384,926.29x = 531,151.91 × 212,821
  4. Step 4: Simplify right side
    384,926.29x = 113,040,280,638.11
  5. Step 5: Solve for x
    x = 113,040,280,638.11/384,926.29
  6. Step 6: Final answer
    x = 293,667.35

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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.