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Finding the Fourth Proportional to 469,445.82, 647,817.75 and 278,344.86

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Solution

The fourth proportional to 469,445.82, 647,817.75 and 278,344.86 is: 384,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,445.82 : 647,817.75 = 278,344.86 : x
  2. Step 2: Convert to fraction form
    469,445.82/647,817.75 = 278,344.86/x
  3. Step 3: Cross multiply
    469,445.82x = 647,817.75 × 278,344.86
  4. Step 4: Simplify right side
    469,445.82x = 180,316,740,929.27
  5. Step 5: Solve for x
    x = 180,316,740,929.27/469,445.82
  6. Step 6: Final answer
    x = 384,105.54

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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.