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Finding the Fourth Proportional to 281,912.32, 389,020 and 154,585.20

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Solution

The fourth proportional to 281,912.32, 389,020 and 154,585.20 is: 213,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,912.32 : 389,020 = 154,585.20 : x
  2. Step 2: Convert to fraction form
    281,912.32/389,020 = 154,585.20/x
  3. Step 3: Cross multiply
    281,912.32x = 389,020 × 154,585.20
  4. Step 4: Simplify right side
    281,912.32x = 60,136,734,504.00
  5. Step 5: Solve for x
    x = 60,136,734,504.00/281,912.32
  6. Step 6: Final answer
    x = 213,317.16

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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.