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Finding the Fourth Proportional to 478,245.33, 659,953.25 and 274,285.77

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Solution

The fourth proportional to 478,245.33, 659,953.25 and 274,285.77 is: 378,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,245.33 : 659,953.25 = 274,285.77 : x
  2. Step 2: Convert to fraction form
    478,245.33/659,953.25 = 274,285.77/x
  3. Step 3: Cross multiply
    478,245.33x = 659,953.25 × 274,285.77
  4. Step 4: Simplify right side
    478,245.33x = 181,015,785,340.25
  5. Step 5: Solve for x
    x = 181,015,785,340.25/478,245.33
  6. Step 6: Final answer
    x = 378,499.85

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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.