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Finding the Fourth Proportional to 420,758.96, 631,278.54 and 136,458.78

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Solution

The fourth proportional to 420,758.96, 631,278.54 and 136,458.78 is: 204,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,758.96 : 631,278.54 = 136,458.78 : x
  2. Step 2: Convert to fraction form
    420,758.96/631,278.54 = 136,458.78/x
  3. Step 3: Cross multiply
    420,758.96x = 631,278.54 × 136,458.78
  4. Step 4: Simplify right side
    420,758.96x = 86,143,499,408.58
  5. Step 5: Solve for x
    x = 86,143,499,408.58/420,758.96
  6. Step 6: Final answer
    x = 204,733.61

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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.