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Finding the Fourth Proportional to 304,821.76, 420,653.96 and 168,864.50

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Solution

The fourth proportional to 304,821.76, 420,653.96 and 168,864.50 is: 233,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,821.76 : 420,653.96 = 168,864.50 : x
  2. Step 2: Convert to fraction form
    304,821.76/420,653.96 = 168,864.50/x
  3. Step 3: Cross multiply
    304,821.76x = 420,653.96 × 168,864.50
  4. Step 4: Simplify right side
    304,821.76x = 71,033,520,628.42
  5. Step 5: Solve for x
    x = 71,033,520,628.42/304,821.76
  6. Step 6: Final answer
    x = 233,032.97

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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.