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Finding the Fourth Proportional to 419,472.40, 629,208.60 and 378,000.40

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Solution

The fourth proportional to 419,472.40, 629,208.60 and 378,000.40 is: 567,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,472.40 : 629,208.60 = 378,000.40 : x
  2. Step 2: Convert to fraction form
    419,472.40/629,208.60 = 378,000.40/x
  3. Step 3: Cross multiply
    419,472.40x = 629,208.60 × 378,000.40
  4. Step 4: Simplify right side
    419,472.40x = 237,841,102,483.44
  5. Step 5: Solve for x
    x = 237,841,102,483.44/419,472.40
  6. Step 6: Final answer
    x = 567,000.60

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1.5x scale

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.