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Finding the Fourth Proportional to 543,305.92, 815,495.24 and 407,899.04

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Solution

The fourth proportional to 543,305.92, 815,495.24 and 407,899.04 is: 612,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,305.92 : 815,495.24 = 407,899.04 : x
  2. Step 2: Convert to fraction form
    543,305.92/815,495.24 = 407,899.04/x
  3. Step 3: Cross multiply
    543,305.92x = 815,495.24 × 407,899.04
  4. Step 4: Simplify right side
    543,305.92x = 332,639,725,520.57
  5. Step 5: Solve for x
    x = 332,639,725,520.57/543,305.92
  6. Step 6: Final answer
    x = 612,251.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.