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Finding the Fourth Proportional to 617,385.92, 851,511.84 and 413,372

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Solution

The fourth proportional to 617,385.92, 851,511.84 and 413,372 is: 570,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,385.92 : 851,511.84 = 413,372 : x
  2. Step 2: Convert to fraction form
    617,385.92/851,511.84 = 413,372/x
  3. Step 3: Cross multiply
    617,385.92x = 851,511.84 × 413,372
  4. Step 4: Simplify right side
    617,385.92x = 351,991,152,324.48
  5. Step 5: Solve for x
    x = 351,991,152,324.48/617,385.92
  6. Step 6: Final answer
    x = 570,131.49

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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.