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Finding the Fourth Proportional to 311,882.30, 430,397.27 and 168,642

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Solution

The fourth proportional to 311,882.30, 430,397.27 and 168,642 is: 232,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,882.30 : 430,397.27 = 168,642 : x
  2. Step 2: Convert to fraction form
    311,882.30/430,397.27 = 168,642/x
  3. Step 3: Cross multiply
    311,882.30x = 430,397.27 × 168,642
  4. Step 4: Simplify right side
    311,882.30x = 72,583,056,670.84
  5. Step 5: Solve for x
    x = 72,583,056,670.84/311,882.30
  6. Step 6: Final answer
    x = 232,725.80

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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.