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Finding the Fourth Proportional to 339,651.57, 509,706.47 and 139,967.53

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Solution

The fourth proportional to 339,651.57, 509,706.47 and 139,967.53 is: 210,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,651.57 : 509,706.47 = 139,967.53 : x
  2. Step 2: Convert to fraction form
    339,651.57/509,706.47 = 139,967.53/x
  3. Step 3: Cross multiply
    339,651.57x = 509,706.47 × 139,967.53
  4. Step 4: Simplify right side
    339,651.57x = 71,342,355,630.92
  5. Step 5: Solve for x
    x = 71,342,355,630.92/339,651.57
  6. Step 6: Final answer
    x = 210,045.71

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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.