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Finding the Fourth Proportional to 339,395.68, 509,100 and 102,737.44

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Solution

The fourth proportional to 339,395.68, 509,100 and 102,737.44 is: 154,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,395.68 : 509,100 = 102,737.44 : x
  2. Step 2: Convert to fraction form
    339,395.68/509,100 = 102,737.44/x
  3. Step 3: Cross multiply
    339,395.68x = 509,100 × 102,737.44
  4. Step 4: Simplify right side
    339,395.68x = 52,303,630,704
  5. Step 5: Solve for x
    x = 52,303,630,704/339,395.68
  6. Step 6: Final answer
    x = 154,108.12

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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.