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Finding the Fourth Proportional to 418,949.01, 628,342.41 and 162,781.14

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Solution

The fourth proportional to 418,949.01, 628,342.41 and 162,781.14 is: 244,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,949.01 : 628,342.41 = 162,781.14 : x
  2. Step 2: Convert to fraction form
    418,949.01/628,342.41 = 162,781.14/x
  3. Step 3: Cross multiply
    418,949.01x = 628,342.41 × 162,781.14
  4. Step 4: Simplify right side
    418,949.01x = 102,282,296,776.86
  5. Step 5: Solve for x
    x = 102,282,296,776.86/418,949.01
  6. Step 6: Final answer
    x = 244,140.20

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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.