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Finding the Fourth Proportional to 617,213.34, 851,755.66 and 345,285.78

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Solution

The fourth proportional to 617,213.34, 851,755.66 and 345,285.78 is: 476,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,213.34 : 851,755.66 = 345,285.78 : x
  2. Step 2: Convert to fraction form
    617,213.34/851,755.66 = 345,285.78/x
  3. Step 3: Cross multiply
    617,213.34x = 851,755.66 × 345,285.78
  4. Step 4: Simplify right side
    617,213.34x = 294,099,117,939.68
  5. Step 5: Solve for x
    x = 294,099,117,939.68/617,213.34
  6. Step 6: Final answer
    x = 476,495.07

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1.5x scale

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.