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Finding the Fourth Proportional to 281,082.69, 421,596.70 and 154,681.38

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Solution

The fourth proportional to 281,082.69, 421,596.70 and 154,681.38 is: 232,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,082.69 : 421,596.70 = 154,681.38 : x
  2. Step 2: Convert to fraction form
    281,082.69/421,596.70 = 154,681.38/x
  3. Step 3: Cross multiply
    281,082.69x = 421,596.70 × 154,681.38
  4. Step 4: Simplify right side
    281,082.69x = 65,213,158,972.74
  5. Step 5: Solve for x
    x = 65,213,158,972.74/281,082.69
  6. Step 6: Final answer
    x = 232,007.03

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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.