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Finding the Fourth Proportional to 420,825.70, 631,327.32 and 136,494.17

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Solution

The fourth proportional to 420,825.70, 631,327.32 and 136,494.17 is: 204,770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,825.70 : 631,327.32 = 136,494.17 : x
  2. Step 2: Convert to fraction form
    420,825.70/631,327.32 = 136,494.17/x
  3. Step 3: Cross multiply
    420,825.70x = 631,327.32 × 136,494.17
  4. Step 4: Simplify right side
    420,825.70x = 86,172,496,280.94
  5. Step 5: Solve for x
    x = 86,172,496,280.94/420,825.70
  6. Step 6: Final answer
    x = 204,770.04

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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.