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Finding the Fourth Proportional to 275,005.20, 411,690.96 and 149,967.12

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Solution

The fourth proportional to 275,005.20, 411,690.96 and 149,967.12 is: 224,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,005.20 : 411,690.96 = 149,967.12 : x
  2. Step 2: Convert to fraction form
    275,005.20/411,690.96 = 149,967.12/x
  3. Step 3: Cross multiply
    275,005.20x = 411,690.96 × 149,967.12
  4. Step 4: Simplify right side
    275,005.20x = 61,740,107,601.24
  5. Step 5: Solve for x
    x = 61,740,107,601.24/275,005.20
  6. Step 6: Final answer
    x = 224,505.24

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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.