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Finding the Fourth Proportional to 493,478.22, 681,031.41 and 278,539.86

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Solution

The fourth proportional to 493,478.22, 681,031.41 and 278,539.86 is: 384,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,478.22 : 681,031.41 = 278,539.86 : x
  2. Step 2: Convert to fraction form
    493,478.22/681,031.41 = 278,539.86/x
  3. Step 3: Cross multiply
    493,478.22x = 681,031.41 × 278,539.86
  4. Step 4: Simplify right side
    493,478.22x = 189,694,393,597.00
  5. Step 5: Solve for x
    x = 189,694,393,597.00/493,478.22
  6. Step 6: Final answer
    x = 384,402.77

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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.