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Finding the Fourth Proportional to 384,702.36, 530,872.74 and 212,611.43

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Solution

The fourth proportional to 384,702.36, 530,872.74 and 212,611.43 is: 293,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,702.36 : 530,872.74 = 212,611.43 : x
  2. Step 2: Convert to fraction form
    384,702.36/530,872.74 = 212,611.43/x
  3. Step 3: Cross multiply
    384,702.36x = 530,872.74 × 212,611.43
  4. Step 4: Simplify right side
    384,702.36x = 112,869,614,324.57
  5. Step 5: Solve for x
    x = 112,869,614,324.57/384,702.36
  6. Step 6: Final answer
    x = 293,394.65

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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.