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Finding the Fourth Proportional to 285,843.62, 394,464.76 and 156,783.15

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Solution

The fourth proportional to 285,843.62, 394,464.76 and 156,783.15 is: 216,361.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,843.62 : 394,464.76 = 156,783.15 : x
  2. Step 2: Convert to fraction form
    285,843.62/394,464.76 = 156,783.15/x
  3. Step 3: Cross multiply
    285,843.62x = 394,464.76 × 156,783.15
  4. Step 4: Simplify right side
    285,843.62x = 61,845,426,930.09
  5. Step 5: Solve for x
    x = 61,845,426,930.09/285,843.62
  6. Step 6: Final answer
    x = 216,361.05

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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.