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Finding the Fourth Proportional to 493,539.32, 681,056.70 and 278,723

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Solution

The fourth proportional to 493,539.32, 681,056.70 and 278,723 is: 384,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,539.32 : 681,056.70 = 278,723 : x
  2. Step 2: Convert to fraction form
    493,539.32/681,056.70 = 278,723/x
  3. Step 3: Cross multiply
    493,539.32x = 681,056.70 × 278,723
  4. Step 4: Simplify right side
    493,539.32x = 189,826,166,594.10
  5. Step 5: Solve for x
    x = 189,826,166,594.10/493,539.32
  6. Step 6: Final answer
    x = 384,622.17

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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.