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Finding the Fourth Proportional to 278,714.71, 384,860.54 and 209,684.45

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Solution

The fourth proportional to 278,714.71, 384,860.54 and 209,684.45 is: 289,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,714.71 : 384,860.54 = 209,684.45 : x
  2. Step 2: Convert to fraction form
    278,714.71/384,860.54 = 209,684.45/x
  3. Step 3: Cross multiply
    278,714.71x = 384,860.54 × 209,684.45
  4. Step 4: Simplify right side
    278,714.71x = 80,699,271,942.90
  5. Step 5: Solve for x
    x = 80,699,271,942.90/278,714.71
  6. Step 6: Final answer
    x = 289,540.77

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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.