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Finding the Fourth Proportional to 493,418.96, 680,705.84 and 289,532.24

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Solution

The fourth proportional to 493,418.96, 680,705.84 and 289,532.24 is: 399,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,418.96 : 680,705.84 = 289,532.24 : x
  2. Step 2: Convert to fraction form
    493,418.96/680,705.84 = 289,532.24/x
  3. Step 3: Cross multiply
    493,418.96x = 680,705.84 × 289,532.24
  4. Step 4: Simplify right side
    493,418.96x = 197,086,285,188.62
  5. Step 5: Solve for x
    x = 197,086,285,188.62/493,418.96
  6. Step 6: Final answer
    x = 399,429.90

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1.5x scale

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.