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Finding the Fourth Proportional to 281,515.42, 388,478.46 and 154,188.28

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Solution

The fourth proportional to 281,515.42, 388,478.46 and 154,188.28 is: 212,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,515.42 : 388,478.46 = 154,188.28 : x
  2. Step 2: Convert to fraction form
    281,515.42/388,478.46 = 154,188.28/x
  3. Step 3: Cross multiply
    281,515.42x = 388,478.46 × 154,188.28
  4. Step 4: Simplify right side
    281,515.42x = 59,898,825,564.45
  5. Step 5: Solve for x
    x = 59,898,825,564.45/281,515.42
  6. Step 6: Final answer
    x = 212,772.81

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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.