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Finding the Fourth Proportional to 304,964.15, 420,851.52 and 169,000.34

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Solution

The fourth proportional to 304,964.15, 420,851.52 and 169,000.34 is: 233,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,964.15 : 420,851.52 = 169,000.34 : x
  2. Step 2: Convert to fraction form
    304,964.15/420,851.52 = 169,000.34/x
  3. Step 3: Cross multiply
    304,964.15x = 420,851.52 × 169,000.34
  4. Step 4: Simplify right side
    304,964.15x = 71,124,051,021.65
  5. Step 5: Solve for x
    x = 71,124,051,021.65/304,964.15
  6. Step 6: Final answer
    x = 233,221.02

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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.