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Finding the Fourth Proportional to 493,698.08, 680,793.72 and 422,314.40

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Solution

The fourth proportional to 493,698.08, 680,793.72 and 422,314.40 is: 582,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,698.08 : 680,793.72 = 422,314.40 : x
  2. Step 2: Convert to fraction form
    493,698.08/680,793.72 = 422,314.40/x
  3. Step 3: Cross multiply
    493,698.08x = 680,793.72 × 422,314.40
  4. Step 4: Simplify right side
    493,698.08x = 287,508,991,385.57
  5. Step 5: Solve for x
    x = 287,508,991,385.57/493,698.08
  6. Step 6: Final answer
    x = 582,357.93

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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.