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Finding the Fourth Proportional to 419,455.44, 628,943.28 and 194,700.24

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Solution

The fourth proportional to 419,455.44, 628,943.28 and 194,700.24 is: 291,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,455.44 : 628,943.28 = 194,700.24 : x
  2. Step 2: Convert to fraction form
    419,455.44/628,943.28 = 194,700.24/x
  3. Step 3: Cross multiply
    419,455.44x = 628,943.28 × 194,700.24
  4. Step 4: Simplify right side
    419,455.44x = 122,455,407,562.39
  5. Step 5: Solve for x
    x = 122,455,407,562.39/419,455.44
  6. Step 6: Final answer
    x = 291,939.01

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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.