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Finding the Fourth Proportional to 303,998.64, 419,510.80 and 166,171.44

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Solution

The fourth proportional to 303,998.64, 419,510.80 and 166,171.44 is: 229,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,998.64 : 419,510.80 = 166,171.44 : x
  2. Step 2: Convert to fraction form
    303,998.64/419,510.80 = 166,171.44/x
  3. Step 3: Cross multiply
    303,998.64x = 419,510.80 × 166,171.44
  4. Step 4: Simplify right side
    303,998.64x = 69,710,713,731.55
  5. Step 5: Solve for x
    x = 69,710,713,731.55/303,998.64
  6. Step 6: Final answer
    x = 229,312.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.