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Finding the Fourth Proportional to 419,225.64, 628,935.93 and 119,710.32

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Solution

The fourth proportional to 419,225.64, 628,935.93 and 119,710.32 is: 179,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,225.64 : 628,935.93 = 119,710.32 : x
  2. Step 2: Convert to fraction form
    419,225.64/628,935.93 = 119,710.32/x
  3. Step 3: Cross multiply
    419,225.64x = 628,935.93 × 119,710.32
  4. Step 4: Simplify right side
    419,225.64x = 75,290,121,439.80
  5. Step 5: Solve for x
    x = 75,290,121,439.80/419,225.64
  6. Step 6: Final answer
    x = 179,593.31

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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.