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Finding the Fourth Proportional to 419,592.60, 629,389.50 and 320,316.46

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Solution

The fourth proportional to 419,592.60, 629,389.50 and 320,316.46 is: 480,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,592.60 : 629,389.50 = 320,316.46 : x
  2. Step 2: Convert to fraction form
    419,592.60/629,389.50 = 320,316.46/x
  3. Step 3: Cross multiply
    419,592.60x = 629,389.50 × 320,316.46
  4. Step 4: Simplify right side
    419,592.60x = 201,603,816,601.17
  5. Step 5: Solve for x
    x = 201,603,816,601.17/419,592.60
  6. Step 6: Final answer
    x = 480,475.15

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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.