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Finding the Fourth Proportional to 339,428.46, 509,168.20 and 102,790.20

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Solution

The fourth proportional to 339,428.46, 509,168.20 and 102,790.20 is: 154,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,428.46 : 509,168.20 = 102,790.20 : x
  2. Step 2: Convert to fraction form
    339,428.46/509,168.20 = 102,790.20/x
  3. Step 3: Cross multiply
    339,428.46x = 509,168.20 × 102,790.20
  4. Step 4: Simplify right side
    339,428.46x = 52,337,501,111.64
  5. Step 5: Solve for x
    x = 52,337,501,111.64/339,428.46
  6. Step 6: Final answer
    x = 154,193.03

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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.