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Finding the Fourth Proportional to 419,814.40, 629,721.60 and 402,318.40

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Solution

The fourth proportional to 419,814.40, 629,721.60 and 402,318.40 is: 603,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,814.40 : 629,721.60 = 402,318.40 : x
  2. Step 2: Convert to fraction form
    419,814.40/629,721.60 = 402,318.40/x
  3. Step 3: Cross multiply
    419,814.40x = 629,721.60 × 402,318.40
  4. Step 4: Simplify right side
    419,814.40x = 253,348,586,557.44
  5. Step 5: Solve for x
    x = 253,348,586,557.44/419,814.40
  6. Step 6: Final answer
    x = 603,477.60

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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.