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Finding the Fourth Proportional to 384,144.88, 530,106.04 and 212,059.16

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Solution

The fourth proportional to 384,144.88, 530,106.04 and 212,059.16 is: 292,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,144.88 : 530,106.04 = 212,059.16 : x
  2. Step 2: Convert to fraction form
    384,144.88/530,106.04 = 212,059.16/x
  3. Step 3: Cross multiply
    384,144.88x = 530,106.04 × 212,059.16
  4. Step 4: Simplify right side
    384,144.88x = 112,413,841,553.33
  5. Step 5: Solve for x
    x = 112,413,841,553.33/384,144.88
  6. Step 6: Final answer
    x = 292,633.97

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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.