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Finding the Fourth Proportional to 421,896.32, 632,847 and 172,578.32

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Solution

The fourth proportional to 421,896.32, 632,847 and 172,578.32 is: 258,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,896.32 : 632,847 = 172,578.32 : x
  2. Step 2: Convert to fraction form
    421,896.32/632,847 = 172,578.32/x
  3. Step 3: Cross multiply
    421,896.32x = 632,847 × 172,578.32
  4. Step 4: Simplify right side
    421,896.32x = 109,215,672,077.04
  5. Step 5: Solve for x
    x = 109,215,672,077.04/421,896.32
  6. Step 6: Final answer
    x = 258,868.51

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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.