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Finding the Fourth Proportional to 599,716.80, 827,640 and 345,106.08

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Solution

The fourth proportional to 599,716.80, 827,640 and 345,106.08 is: 476,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,716.80 : 827,640 = 345,106.08 : x
  2. Step 2: Convert to fraction form
    599,716.80/827,640 = 345,106.08/x
  3. Step 3: Cross multiply
    599,716.80x = 827,640 × 345,106.08
  4. Step 4: Simplify right side
    599,716.80x = 285,623,596,051.20
  5. Step 5: Solve for x
    x = 285,623,596,051.20/599,716.80
  6. Step 6: Final answer
    x = 476,264.12

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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.