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Finding the Fourth Proportional to 320,167.92, 479,870.16 and 149,160.24

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Solution

The fourth proportional to 320,167.92, 479,870.16 and 149,160.24 is: 223,562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,167.92 : 479,870.16 = 149,160.24 : x
  2. Step 2: Convert to fraction form
    320,167.92/479,870.16 = 149,160.24/x
  3. Step 3: Cross multiply
    320,167.92x = 479,870.16 × 149,160.24
  4. Step 4: Simplify right side
    320,167.92x = 71,577,548,234.44
  5. Step 5: Solve for x
    x = 71,577,548,234.44/320,167.92
  6. Step 6: Final answer
    x = 223,562.52

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1.5x scale

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.