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Finding the Fourth Proportional to 421,458.56, 632,093.16 and 121,872.32

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Solution

The fourth proportional to 421,458.56, 632,093.16 and 121,872.32 is: 182,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,458.56 : 632,093.16 = 121,872.32 : x
  2. Step 2: Convert to fraction form
    421,458.56/632,093.16 = 121,872.32/x
  3. Step 3: Cross multiply
    421,458.56x = 632,093.16 × 121,872.32
  4. Step 4: Simplify right side
    421,458.56x = 77,034,659,865.33
  5. Step 5: Solve for x
    x = 77,034,659,865.33/421,458.56
  6. Step 6: Final answer
    x = 182,781.10

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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.