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Finding the Fourth Proportional to 304,964.66, 420,852.21 and 169,000.85

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Solution

The fourth proportional to 304,964.66, 420,852.21 and 169,000.85 is: 233,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,964.66 : 420,852.21 = 169,000.85 : x
  2. Step 2: Convert to fraction form
    304,964.66/420,852.21 = 169,000.85/x
  3. Step 3: Cross multiply
    304,964.66x = 420,852.21 × 169,000.85
  4. Step 4: Simplify right side
    304,964.66x = 71,124,379,110.12
  5. Step 5: Solve for x
    x = 71,124,379,110.12/304,964.66
  6. Step 6: Final answer
    x = 233,221.71

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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.