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Finding the Fourth Proportional to 478,010.28, 659,650.59 and 263,154

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Solution

The fourth proportional to 478,010.28, 659,650.59 and 263,154 is: 363,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,010.28 : 659,650.59 = 263,154 : x
  2. Step 2: Convert to fraction form
    478,010.28/659,650.59 = 263,154/x
  3. Step 3: Cross multiply
    478,010.28x = 659,650.59 × 263,154
  4. Step 4: Simplify right side
    478,010.28x = 173,589,691,360.86
  5. Step 5: Solve for x
    x = 173,589,691,360.86/478,010.28
  6. Step 6: Final answer
    x = 363,150.54

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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.