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Finding the Fourth Proportional to 321,513.60, 443,647.99 and 176,281.17

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Solution

The fourth proportional to 321,513.60, 443,647.99 and 176,281.17 is: 243,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,513.60 : 443,647.99 = 176,281.17 : x
  2. Step 2: Convert to fraction form
    321,513.60/443,647.99 = 176,281.17/x
  3. Step 3: Cross multiply
    321,513.60x = 443,647.99 × 176,281.17
  4. Step 4: Simplify right side
    321,513.60x = 78,206,786,745.35
  5. Step 5: Solve for x
    x = 78,206,786,745.35/321,513.60
  6. Step 6: Final answer
    x = 243,245.66

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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.