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Finding the Fourth Proportional to 617,165.19, 851,647.95 and 345,186.02

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Solution

The fourth proportional to 617,165.19, 851,647.95 and 345,186.02 is: 476,334.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,165.19 : 851,647.95 = 345,186.02 : x
  2. Step 2: Convert to fraction form
    617,165.19/851,647.95 = 345,186.02/x
  3. Step 3: Cross multiply
    617,165.19x = 851,647.95 × 345,186.02
  4. Step 4: Simplify right side
    617,165.19x = 293,976,962,043.42
  5. Step 5: Solve for x
    x = 293,976,962,043.42/617,165.19
  6. Step 6: Final answer
    x = 476,334.33

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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.