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Finding the Fourth Proportional to 469,446.82, 647,819.13 and 278,345.86

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Solution

The fourth proportional to 469,446.82, 647,819.13 and 278,345.86 is: 384,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,446.82 : 647,819.13 = 278,345.86 : x
  2. Step 2: Convert to fraction form
    469,446.82/647,819.13 = 278,345.86/x
  3. Step 3: Cross multiply
    469,446.82x = 647,819.13 × 278,345.86
  4. Step 4: Simplify right side
    469,446.82x = 180,317,772,864.30
  5. Step 5: Solve for x
    x = 180,317,772,864.30/469,446.82
  6. Step 6: Final answer
    x = 384,106.92

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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.