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Finding the Fourth Proportional to 304,957.79, 420,844.23 and 168,994.03

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Solution

The fourth proportional to 304,957.79, 420,844.23 and 168,994.03 is: 233,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,957.79 : 420,844.23 = 168,994.03 : x
  2. Step 2: Convert to fraction form
    304,957.79/420,844.23 = 168,994.03/x
  3. Step 3: Cross multiply
    304,957.79x = 420,844.23 × 168,994.03
  4. Step 4: Simplify right side
    304,957.79x = 71,120,162,429.95
  5. Step 5: Solve for x
    x = 71,120,162,429.95/304,957.79
  6. Step 6: Final answer
    x = 233,213.14

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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.