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Finding the Fourth Proportional to 304,967.50, 420,871.32 and 169,016.28

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Solution

The fourth proportional to 304,967.50, 420,871.32 and 169,016.28 is: 233,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,967.50 : 420,871.32 = 169,016.28 : x
  2. Step 2: Convert to fraction form
    304,967.50/420,871.32 = 169,016.28/x
  3. Step 3: Cross multiply
    304,967.50x = 420,871.32 × 169,016.28
  4. Step 4: Simplify right side
    304,967.50x = 71,134,104,865.09
  5. Step 5: Solve for x
    x = 71,134,104,865.09/304,967.50
  6. Step 6: Final answer
    x = 233,251.43

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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.