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Finding the Fourth Proportional to 418,497, 628,021.98 and 196,898.28

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Solution

The fourth proportional to 418,497, 628,021.98 and 196,898.28 is: 295,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,497 : 628,021.98 = 196,898.28 : x
  2. Step 2: Convert to fraction form
    418,497/628,021.98 = 196,898.28/x
  3. Step 3: Cross multiply
    418,497x = 628,021.98 × 196,898.28
  4. Step 4: Simplify right side
    418,497x = 123,656,447,664.19
  5. Step 5: Solve for x
    x = 123,656,447,664.19/418,497
  6. Step 6: Final answer
    x = 295,477.50

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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.