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Finding the Fourth Proportional to 420,953.99, 631,436.38 and 140,471.24

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Solution

The fourth proportional to 420,953.99, 631,436.38 and 140,471.24 is: 210,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,953.99 : 631,436.38 = 140,471.24 : x
  2. Step 2: Convert to fraction form
    420,953.99/631,436.38 = 140,471.24/x
  3. Step 3: Cross multiply
    420,953.99x = 631,436.38 × 140,471.24
  4. Step 4: Simplify right side
    420,953.99x = 88,698,647,771.35
  5. Step 5: Solve for x
    x = 88,698,647,771.35/420,953.99
  6. Step 6: Final answer
    x = 210,708.65

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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.