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Finding the Fourth Proportional to 493,125.44, 680,530.56 and 278,252.96

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Solution

The fourth proportional to 493,125.44, 680,530.56 and 278,252.96 is: 383,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,125.44 : 680,530.56 = 278,252.96 : x
  2. Step 2: Convert to fraction form
    493,125.44/680,530.56 = 278,252.96/x
  3. Step 3: Cross multiply
    493,125.44x = 680,530.56 × 278,252.96
  4. Step 4: Simplify right side
    493,125.44x = 189,359,642,690.46
  5. Step 5: Solve for x
    x = 189,359,642,690.46/493,125.44
  6. Step 6: Final answer
    x = 383,998.93

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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.