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Finding the Fourth Proportional to 384,638.71, 530,821.80 and 231,725.04

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Solution

The fourth proportional to 384,638.71, 530,821.80 and 231,725.04 is: 319,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,638.71 : 530,821.80 = 231,725.04 : x
  2. Step 2: Convert to fraction form
    384,638.71/530,821.80 = 231,725.04/x
  3. Step 3: Cross multiply
    384,638.71x = 530,821.80 × 231,725.04
  4. Step 4: Simplify right side
    384,638.71x = 123,004,699,025.14
  5. Step 5: Solve for x
    x = 123,004,699,025.14/384,638.71
  6. Step 6: Final answer
    x = 319,792.83

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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.