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Finding the Fourth Proportional to 384,956.81, 531,243.84 and 212,886.35

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Solution

The fourth proportional to 384,956.81, 531,243.84 and 212,886.35 is: 293,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,956.81 : 531,243.84 = 212,886.35 : x
  2. Step 2: Convert to fraction form
    384,956.81/531,243.84 = 212,886.35/x
  3. Step 3: Cross multiply
    384,956.81x = 531,243.84 × 212,886.35
  4. Step 4: Simplify right side
    384,956.81x = 113,094,560,993.15
  5. Step 5: Solve for x
    x = 113,094,560,993.15/384,956.81
  6. Step 6: Final answer
    x = 293,785.06

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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.