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Finding the Fourth Proportional to 420,906.83, 631,453.73 and 121,364.10

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Solution

The fourth proportional to 420,906.83, 631,453.73 and 121,364.10 is: 182,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,906.83 : 631,453.73 = 121,364.10 : x
  2. Step 2: Convert to fraction form
    420,906.83/631,453.73 = 121,364.10/x
  3. Step 3: Cross multiply
    420,906.83x = 631,453.73 × 121,364.10
  4. Step 4: Simplify right side
    420,906.83x = 76,635,813,026.27
  5. Step 5: Solve for x
    x = 76,635,813,026.27/420,906.83
  6. Step 6: Final answer
    x = 182,073.11

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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.