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Finding the Fourth Proportional to 493,712.46, 681,323.67 and 278,852.94

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Solution

The fourth proportional to 493,712.46, 681,323.67 and 278,852.94 is: 384,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,712.46 : 681,323.67 = 278,852.94 : x
  2. Step 2: Convert to fraction form
    493,712.46/681,323.67 = 278,852.94/x
  3. Step 3: Cross multiply
    493,712.46x = 681,323.67 × 278,852.94
  4. Step 4: Simplify right side
    493,712.46x = 189,989,108,471.09
  5. Step 5: Solve for x
    x = 189,989,108,471.09/493,712.46
  6. Step 6: Final answer
    x = 384,817.33

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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.