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Finding the Fourth Proportional to 418,727.78, 628,076.82 and 119,209.94

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Solution

The fourth proportional to 418,727.78, 628,076.82 and 119,209.94 is: 178,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,727.78 : 628,076.82 = 119,209.94 : x
  2. Step 2: Convert to fraction form
    418,727.78/628,076.82 = 119,209.94/x
  3. Step 3: Cross multiply
    418,727.78x = 628,076.82 × 119,209.94
  4. Step 4: Simplify right side
    418,727.78x = 74,873,000,027.59
  5. Step 5: Solve for x
    x = 74,873,000,027.59/418,727.78
  6. Step 6: Final answer
    x = 178,810.68

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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.