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Finding the Fourth Proportional to 281,516.42, 388,479.84 and 154,189.28

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Solution

The fourth proportional to 281,516.42, 388,479.84 and 154,189.28 is: 212,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,516.42 : 388,479.84 = 154,189.28 : x
  2. Step 2: Convert to fraction form
    281,516.42/388,479.84 = 154,189.28/x
  3. Step 3: Cross multiply
    281,516.42x = 388,479.84 × 154,189.28
  4. Step 4: Simplify right side
    281,516.42x = 59,899,426,824.12
  5. Step 5: Solve for x
    x = 59,899,426,824.12/281,516.42
  6. Step 6: Final answer
    x = 212,774.18

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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.