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Finding the Fourth Proportional to 311,936.53, 430,473.71 and 168,696.58

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Solution

The fourth proportional to 311,936.53, 430,473.71 and 168,696.58 is: 232,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,936.53 : 430,473.71 = 168,696.58 : x
  2. Step 2: Convert to fraction form
    311,936.53/430,473.71 = 168,696.58/x
  3. Step 3: Cross multiply
    311,936.53x = 430,473.71 × 168,696.58
  4. Step 4: Simplify right side
    311,936.53x = 72,619,442,656.91
  5. Step 5: Solve for x
    x = 72,619,442,656.91/311,936.53
  6. Step 6: Final answer
    x = 232,801.98

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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.