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Finding the Fourth Proportional to 420,732.99, 631,456.20 and 168,191.82

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Solution

The fourth proportional to 420,732.99, 631,456.20 and 168,191.82 is: 252,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,732.99 : 631,456.20 = 168,191.82 : x
  2. Step 2: Convert to fraction form
    420,732.99/631,456.20 = 168,191.82/x
  3. Step 3: Cross multiply
    420,732.99x = 631,456.20 × 168,191.82
  4. Step 4: Simplify right side
    420,732.99x = 106,205,767,528.28
  5. Step 5: Solve for x
    x = 106,205,767,528.28/420,732.99
  6. Step 6: Final answer
    x = 252,430.33

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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.