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Finding the Fourth Proportional to 323,992.55, 447,101.09 and 180,748.91

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Solution

The fourth proportional to 323,992.55, 447,101.09 and 180,748.91 is: 249,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,992.55 : 447,101.09 = 180,748.91 : x
  2. Step 2: Convert to fraction form
    323,992.55/447,101.09 = 180,748.91/x
  3. Step 3: Cross multiply
    323,992.55x = 447,101.09 × 180,748.91
  4. Step 4: Simplify right side
    323,992.55x = 80,813,034,677.31
  5. Step 5: Solve for x
    x = 80,813,034,677.31/323,992.55
  6. Step 6: Final answer
    x = 249,428.68

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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.