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Finding the Fourth Proportional to 419,820.60, 629,730.90 and 402,324.60

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Solution

The fourth proportional to 419,820.60, 629,730.90 and 402,324.60 is: 603,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,820.60 : 629,730.90 = 402,324.60 : x
  2. Step 2: Convert to fraction form
    419,820.60/629,730.90 = 402,324.60/x
  3. Step 3: Cross multiply
    419,820.60x = 629,730.90 × 402,324.60
  4. Step 4: Simplify right side
    419,820.60x = 253,356,232,450.14
  5. Step 5: Solve for x
    x = 253,356,232,450.14/419,820.60
  6. Step 6: Final answer
    x = 603,486.90

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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.