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Finding the Fourth Proportional to 281,633.96, 421,812.66 and 197,769.80

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Solution

The fourth proportional to 281,633.96, 421,812.66 and 197,769.80 is: 296,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,633.96 : 421,812.66 = 197,769.80 : x
  2. Step 2: Convert to fraction form
    281,633.96/421,812.66 = 197,769.80/x
  3. Step 3: Cross multiply
    281,633.96x = 421,812.66 × 197,769.80
  4. Step 4: Simplify right side
    281,633.96x = 83,421,805,405.67
  5. Step 5: Solve for x
    x = 83,421,805,405.67/281,633.96
  6. Step 6: Final answer
    x = 296,206.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.