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Finding the Fourth Proportional to 342,161.26, 472,141.32 and 189,178.78

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Solution

The fourth proportional to 342,161.26, 472,141.32 and 189,178.78 is: 261,043.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,161.26 : 472,141.32 = 189,178.78 : x
  2. Step 2: Convert to fraction form
    342,161.26/472,141.32 = 189,178.78/x
  3. Step 3: Cross multiply
    342,161.26x = 472,141.32 × 189,178.78
  4. Step 4: Simplify right side
    342,161.26x = 89,319,118,905.19
  5. Step 5: Solve for x
    x = 89,319,118,905.19/342,161.26
  6. Step 6: Final answer
    x = 261,043.93

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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.