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Finding the Fourth Proportional to 323,838.92, 485,790.77 and 99,196.76

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Solution

The fourth proportional to 323,838.92, 485,790.77 and 99,196.76 is: 148,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,838.92 : 485,790.77 = 99,196.76 : x
  2. Step 2: Convert to fraction form
    323,838.92/485,790.77 = 99,196.76/x
  3. Step 3: Cross multiply
    323,838.92x = 485,790.77 × 99,196.76
  4. Step 4: Simplify right side
    323,838.92x = 48,188,870,421.91
  5. Step 5: Solve for x
    x = 48,188,870,421.91/323,838.92
  6. Step 6: Final answer
    x = 148,805.06

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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.