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Finding the Fourth Proportional to 420,954.36, 631,436.94 and 140,471.61

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Solution

The fourth proportional to 420,954.36, 631,436.94 and 140,471.61 is: 210,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,954.36 : 631,436.94 = 140,471.61 : x
  2. Step 2: Convert to fraction form
    420,954.36/631,436.94 = 140,471.61/x
  3. Step 3: Cross multiply
    420,954.36x = 631,436.94 × 140,471.61
  4. Step 4: Simplify right side
    420,954.36x = 88,698,963,575.27
  5. Step 5: Solve for x
    x = 88,698,963,575.27/420,954.36
  6. Step 6: Final answer
    x = 210,709.22

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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.