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Finding the Fourth Proportional to 478,157.54, 659,861.78 and 263,305.31

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Solution

The fourth proportional to 478,157.54, 659,861.78 and 263,305.31 is: 363,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,157.54 : 659,861.78 = 263,305.31 : x
  2. Step 2: Convert to fraction form
    478,157.54/659,861.78 = 263,305.31/x
  3. Step 3: Cross multiply
    478,157.54x = 659,861.78 × 263,305.31
  4. Step 4: Simplify right side
    478,157.54x = 173,745,105,924.22
  5. Step 5: Solve for x
    x = 173,745,105,924.22/478,157.54
  6. Step 6: Final answer
    x = 363,363.73

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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.