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Finding the Fourth Proportional to 342,640.62, 472,847.79 and 189,681.37

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Solution

The fourth proportional to 342,640.62, 472,847.79 and 189,681.37 is: 261,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,640.62 : 472,847.79 = 189,681.37 : x
  2. Step 2: Convert to fraction form
    342,640.62/472,847.79 = 189,681.37/x
  3. Step 3: Cross multiply
    342,640.62x = 472,847.79 × 189,681.37
  4. Step 4: Simplify right side
    342,640.62x = 89,690,416,137.86
  5. Step 5: Solve for x
    x = 89,690,416,137.86/342,640.62
  6. Step 6: Final answer
    x = 261,762.36

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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.