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Finding the Fourth Proportional to 420,815.80, 631,223.70 and 263,351.80

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Solution

The fourth proportional to 420,815.80, 631,223.70 and 263,351.80 is: 395,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,815.80 : 631,223.70 = 263,351.80 : x
  2. Step 2: Convert to fraction form
    420,815.80/631,223.70 = 263,351.80/x
  3. Step 3: Cross multiply
    420,815.80x = 631,223.70 × 263,351.80
  4. Step 4: Simplify right side
    420,815.80x = 166,233,897,597.66
  5. Step 5: Solve for x
    x = 166,233,897,597.66/420,815.80
  6. Step 6: Final answer
    x = 395,027.70

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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.