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Finding the Fourth Proportional to 617,086.50, 851,658.23 and 345,169.50

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Solution

The fourth proportional to 617,086.50, 851,658.23 and 345,169.50 is: 476,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,086.50 : 851,658.23 = 345,169.50 : x
  2. Step 2: Convert to fraction form
    617,086.50/851,658.23 = 345,169.50/x
  3. Step 3: Cross multiply
    617,086.50x = 851,658.23 × 345,169.50
  4. Step 4: Simplify right side
    617,086.50x = 293,966,445,419.99
  5. Step 5: Solve for x
    x = 293,966,445,419.99/617,086.50
  6. Step 6: Final answer
    x = 476,378.02

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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.