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Finding the Fourth Proportional to 493,016.31, 739,450.11 and 156,013.20

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Solution

The fourth proportional to 493,016.31, 739,450.11 and 156,013.20 is: 233,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,016.31 : 739,450.11 = 156,013.20 : x
  2. Step 2: Convert to fraction form
    493,016.31/739,450.11 = 156,013.20/x
  3. Step 3: Cross multiply
    493,016.31x = 739,450.11 × 156,013.20
  4. Step 4: Simplify right side
    493,016.31x = 115,363,977,901.45
  5. Step 5: Solve for x
    x = 115,363,977,901.45/493,016.31
  6. Step 6: Final answer
    x = 233,996.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.