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Finding the Fourth Proportional to 420,640.52, 629,954.89 and 242,607.78

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Solution

The fourth proportional to 420,640.52, 629,954.89 and 242,607.78 is: 363,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,640.52 : 629,954.89 = 242,607.78 : x
  2. Step 2: Convert to fraction form
    420,640.52/629,954.89 = 242,607.78/x
  3. Step 3: Cross multiply
    420,640.52x = 629,954.89 × 242,607.78
  4. Step 4: Simplify right side
    420,640.52x = 152,831,956,756.53
  5. Step 5: Solve for x
    x = 152,831,956,756.53/420,640.52
  6. Step 6: Final answer
    x = 363,331.52

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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.