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Finding the Fourth Proportional to 420,998.91, 631,540.89 and 136,677.57

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Solution

The fourth proportional to 420,998.91, 631,540.89 and 136,677.57 is: 205,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,998.91 : 631,540.89 = 136,677.57 : x
  2. Step 2: Convert to fraction form
    420,998.91/631,540.89 = 136,677.57/x
  3. Step 3: Cross multiply
    420,998.91x = 631,540.89 × 136,677.57
  4. Step 4: Simplify right side
    420,998.91x = 86,317,474,200.84
  5. Step 5: Solve for x
    x = 86,317,474,200.84/420,998.91
  6. Step 6: Final answer
    x = 205,030.16

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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.