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Finding the Fourth Proportional to 275,265.30, 411,854.67 and 163,005.78

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Solution

The fourth proportional to 275,265.30, 411,854.67 and 163,005.78 is: 243,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,265.30 : 411,854.67 = 163,005.78 : x
  2. Step 2: Convert to fraction form
    275,265.30/411,854.67 = 163,005.78/x
  3. Step 3: Cross multiply
    275,265.30x = 411,854.67 × 163,005.78
  4. Step 4: Simplify right side
    275,265.30x = 67,134,691,729.99
  5. Step 5: Solve for x
    x = 67,134,691,729.99/275,265.30
  6. Step 6: Final answer
    x = 243,890.86

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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.