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Finding the Fourth Proportional to 513,371.21, 708,167.85 and 298,487.52

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Solution

The fourth proportional to 513,371.21, 708,167.85 and 298,487.52 is: 411,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,371.21 : 708,167.85 = 298,487.52 : x
  2. Step 2: Convert to fraction form
    513,371.21/708,167.85 = 298,487.52/x
  3. Step 3: Cross multiply
    513,371.21x = 708,167.85 × 298,487.52
  4. Step 4: Simplify right side
    513,371.21x = 211,379,265,290.23
  5. Step 5: Solve for x
    x = 211,379,265,290.23/513,371.21
  6. Step 6: Final answer
    x = 411,747.41

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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.