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Finding the Fourth Proportional to 311,843.25, 430,343.31 and 168,602.95

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Solution

The fourth proportional to 311,843.25, 430,343.31 and 168,602.95 is: 232,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,843.25 : 430,343.31 = 168,602.95 : x
  2. Step 2: Convert to fraction form
    311,843.25/430,343.31 = 168,602.95/x
  3. Step 3: Cross multiply
    311,843.25x = 430,343.31 × 168,602.95
  4. Step 4: Simplify right side
    311,843.25x = 72,557,151,578.76
  5. Step 5: Solve for x
    x = 72,557,151,578.76/311,843.25
  6. Step 6: Final answer
    x = 232,671.87

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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.