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Finding the Fourth Proportional to 503,757.60, 695,009.64 and 285,940.32

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Solution

The fourth proportional to 503,757.60, 695,009.64 and 285,940.32 is: 394,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,757.60 : 695,009.64 = 285,940.32 : x
  2. Step 2: Convert to fraction form
    503,757.60/695,009.64 = 285,940.32/x
  3. Step 3: Cross multiply
    503,757.60x = 695,009.64 × 285,940.32
  4. Step 4: Simplify right side
    503,757.60x = 198,731,278,864.69
  5. Step 5: Solve for x
    x = 198,731,278,864.69/503,757.60
  6. Step 6: Final answer
    x = 394,497.83

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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.