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Finding the Fourth Proportional to 285,851.30, 394,472.12 and 156,787.16

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Solution

The fourth proportional to 285,851.30, 394,472.12 and 156,787.16 is: 216,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,851.30 : 394,472.12 = 156,787.16 : x
  2. Step 2: Convert to fraction form
    285,851.30/394,472.12 = 156,787.16/x
  3. Step 3: Cross multiply
    285,851.30x = 394,472.12 × 156,787.16
  4. Step 4: Simplify right side
    285,851.30x = 61,848,160,637.68
  5. Step 5: Solve for x
    x = 61,848,160,637.68/285,851.30
  6. Step 6: Final answer
    x = 216,364.81

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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.