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Finding the Fourth Proportional to 384,771.36, 530,983.17 and 215,005.49

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Solution

The fourth proportional to 384,771.36, 530,983.17 and 215,005.49 is: 296,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,771.36 : 530,983.17 = 215,005.49 : x
  2. Step 2: Convert to fraction form
    384,771.36/530,983.17 = 215,005.49/x
  3. Step 3: Cross multiply
    384,771.36x = 530,983.17 × 215,005.49
  4. Step 4: Simplify right side
    384,771.36x = 114,164,293,992.69
  5. Step 5: Solve for x
    x = 114,164,293,992.69/384,771.36
  6. Step 6: Final answer
    x = 296,706.84

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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.