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Finding the Fourth Proportional to 281,343.83, 388,254.49 and 154,019.42

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Solution

The fourth proportional to 281,343.83, 388,254.49 and 154,019.42 is: 212,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,343.83 : 388,254.49 = 154,019.42 : x
  2. Step 2: Convert to fraction form
    281,343.83/388,254.49 = 154,019.42/x
  3. Step 3: Cross multiply
    281,343.83x = 388,254.49 × 154,019.42
  4. Step 4: Simplify right side
    281,343.83x = 59,798,729,035.87
  5. Step 5: Solve for x
    x = 59,798,729,035.87/281,343.83
  6. Step 6: Final answer
    x = 212,546.80

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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.