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Finding the Fourth Proportional to 384,838.63, 531,078.12 and 215,072.75

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Solution

The fourth proportional to 384,838.63, 531,078.12 and 215,072.75 is: 296,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,838.63 : 531,078.12 = 215,072.75 : x
  2. Step 2: Convert to fraction form
    384,838.63/531,078.12 = 215,072.75/x
  3. Step 3: Cross multiply
    384,838.63x = 531,078.12 × 215,072.75
  4. Step 4: Simplify right side
    384,838.63x = 114,220,433,060.93
  5. Step 5: Solve for x
    x = 114,220,433,060.93/384,838.63
  6. Step 6: Final answer
    x = 296,800.85

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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.