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Finding the Fourth Proportional to 281,898.38, 389,019.48 and 154,576.10

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Solution

The fourth proportional to 281,898.38, 389,019.48 and 154,576.10 is: 213,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,898.38 : 389,019.48 = 154,576.10 : x
  2. Step 2: Convert to fraction form
    281,898.38/389,019.48 = 154,576.10/x
  3. Step 3: Cross multiply
    281,898.38x = 389,019.48 × 154,576.10
  4. Step 4: Simplify right side
    281,898.38x = 60,133,114,042.43
  5. Step 5: Solve for x
    x = 60,133,114,042.43/281,898.38
  6. Step 6: Final answer
    x = 213,314.86

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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.