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Finding the Fourth Proportional to 384,145.88, 530,107.42 and 212,060.16

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Solution

The fourth proportional to 384,145.88, 530,107.42 and 212,060.16 is: 292,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,145.88 : 530,107.42 = 212,060.16 : x
  2. Step 2: Convert to fraction form
    384,145.88/530,107.42 = 212,060.16/x
  3. Step 3: Cross multiply
    384,145.88x = 530,107.42 × 212,060.16
  4. Step 4: Simplify right side
    384,145.88x = 112,414,664,302.39
  5. Step 5: Solve for x
    x = 112,414,664,302.39/384,145.88
  6. Step 6: Final answer
    x = 292,635.35

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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.