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Finding the Fourth Proportional to 469,449.82, 647,823.26 and 278,348.86

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Solution

The fourth proportional to 469,449.82, 647,823.26 and 278,348.86 is: 384,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,449.82 : 647,823.26 = 278,348.86 : x
  2. Step 2: Convert to fraction form
    469,449.82/647,823.26 = 278,348.86/x
  3. Step 3: Cross multiply
    469,449.82x = 647,823.26 × 278,348.86
  4. Step 4: Simplify right side
    469,449.82x = 180,320,865,902.48
  5. Step 5: Solve for x
    x = 180,320,865,902.48/469,449.82
  6. Step 6: Final answer
    x = 384,111.06

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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.