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Finding the Fourth Proportional to 323,881.66, 446,617.56 and 278,712.82

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Solution

The fourth proportional to 323,881.66, 446,617.56 and 278,712.82 is: 384,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,881.66 : 446,617.56 = 278,712.82 : x
  2. Step 2: Convert to fraction form
    323,881.66/446,617.56 = 278,712.82/x
  3. Step 3: Cross multiply
    323,881.66x = 446,617.56 × 278,712.82
  4. Step 4: Simplify right side
    323,881.66x = 124,478,039,609.12
  5. Step 5: Solve for x
    x = 124,478,039,609.12/323,881.66
  6. Step 6: Final answer
    x = 384,331.86

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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.