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Finding the Fourth Proportional to 304,123.45, 419,679.84 and 166,305.71

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Solution

The fourth proportional to 304,123.45, 419,679.84 and 166,305.71 is: 229,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,123.45 : 419,679.84 = 166,305.71 : x
  2. Step 2: Convert to fraction form
    304,123.45/419,679.84 = 166,305.71/x
  3. Step 3: Cross multiply
    304,123.45x = 419,679.84 × 166,305.71
  4. Step 4: Simplify right side
    304,123.45x = 69,795,153,763.89
  5. Step 5: Solve for x
    x = 69,795,153,763.89/304,123.45
  6. Step 6: Final answer
    x = 229,496.13

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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.