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Finding the Fourth Proportional to 285,478.40, 393,963.36 and 158,156

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Solution

The fourth proportional to 285,478.40, 393,963.36 and 158,156 is: 218,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,478.40 : 393,963.36 = 158,156 : x
  2. Step 2: Convert to fraction form
    285,478.40/393,963.36 = 158,156/x
  3. Step 3: Cross multiply
    285,478.40x = 393,963.36 × 158,156
  4. Step 4: Simplify right side
    285,478.40x = 62,307,669,164.16
  5. Step 5: Solve for x
    x = 62,307,669,164.16/285,478.40
  6. Step 6: Final answer
    x = 218,257.04

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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.