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Finding the Fourth Proportional to 311,915.05, 430,443.79 and 168,676.11

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Solution

The fourth proportional to 311,915.05, 430,443.79 and 168,676.11 is: 232,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,915.05 : 430,443.79 = 168,676.11 : x
  2. Step 2: Convert to fraction form
    311,915.05/430,443.79 = 168,676.11/x
  3. Step 3: Cross multiply
    311,915.05x = 430,443.79 × 168,676.11
  4. Step 4: Simplify right side
    311,915.05x = 72,605,583,649.17
  5. Step 5: Solve for x
    x = 72,605,583,649.17/311,915.05
  6. Step 6: Final answer
    x = 232,773.58

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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.