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Finding the Fourth Proportional to 420,945, 631,471.20 and 193,185.36

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Solution

The fourth proportional to 420,945, 631,471.20 and 193,185.36 is: 289,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,945 : 631,471.20 = 193,185.36 : x
  2. Step 2: Convert to fraction form
    420,945/631,471.20 = 193,185.36/x
  3. Step 3: Cross multiply
    420,945x = 631,471.20 × 193,185.36
  4. Step 4: Simplify right side
    420,945x = 121,990,991,101.63
  5. Step 5: Solve for x
    x = 121,990,991,101.63/420,945
  6. Step 6: Final answer
    x = 289,802.68

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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.