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Finding the Fourth Proportional to 384,143.69, 530,104.40 and 212,057.96

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Solution

The fourth proportional to 384,143.69, 530,104.40 and 212,057.96 is: 292,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,143.69 : 530,104.40 = 212,057.96 : x
  2. Step 2: Convert to fraction form
    384,143.69/530,104.40 = 212,057.96/x
  3. Step 3: Cross multiply
    384,143.69x = 530,104.40 × 212,057.96
  4. Step 4: Simplify right side
    384,143.69x = 112,412,857,651.02
  5. Step 5: Solve for x
    x = 112,412,857,651.02/384,143.69
  6. Step 6: Final answer
    x = 292,632.32

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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.