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Finding the Fourth Proportional to 418,991.68, 628,106.28 and 152,691.49

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Solution

The fourth proportional to 418,991.68, 628,106.28 and 152,691.49 is: 228,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,991.68 : 628,106.28 = 152,691.49 : x
  2. Step 2: Convert to fraction form
    418,991.68/628,106.28 = 152,691.49/x
  3. Step 3: Cross multiply
    418,991.68x = 628,106.28 × 152,691.49
  4. Step 4: Simplify right side
    418,991.68x = 95,906,483,771.56
  5. Step 5: Solve for x
    x = 95,906,483,771.56/418,991.68
  6. Step 6: Final answer
    x = 228,898.30

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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.