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Finding the Fourth Proportional to 493,429.22, 680,894.32 and 278,590.50

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Solution

The fourth proportional to 493,429.22, 680,894.32 and 278,590.50 is: 384,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,429.22 : 680,894.32 = 278,590.50 : x
  2. Step 2: Convert to fraction form
    493,429.22/680,894.32 = 278,590.50/x
  3. Step 3: Cross multiply
    493,429.22x = 680,894.32 × 278,590.50
  4. Step 4: Simplify right side
    493,429.22x = 189,690,689,055.96
  5. Step 5: Solve for x
    x = 189,690,689,055.96/493,429.22
  6. Step 6: Final answer
    x = 384,433.43

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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.