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Finding the Fourth Proportional to 496,213.40, 744,320.10 and 259,628.60

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Solution

The fourth proportional to 496,213.40, 744,320.10 and 259,628.60 is: 389,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,213.40 : 744,320.10 = 259,628.60 : x
  2. Step 2: Convert to fraction form
    496,213.40/744,320.10 = 259,628.60/x
  3. Step 3: Cross multiply
    496,213.40x = 744,320.10 × 259,628.60
  4. Step 4: Simplify right side
    496,213.40x = 193,246,785,514.86
  5. Step 5: Solve for x
    x = 193,246,785,514.86/496,213.40
  6. Step 6: Final answer
    x = 389,442.90

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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.