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Finding the Fourth Proportional to 635,410.17, 876,868.47 and 345,022.20

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Solution

The fourth proportional to 635,410.17, 876,868.47 and 345,022.20 is: 476,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,410.17 : 876,868.47 = 345,022.20 : x
  2. Step 2: Convert to fraction form
    635,410.17/876,868.47 = 345,022.20/x
  3. Step 3: Cross multiply
    635,410.17x = 876,868.47 × 345,022.20
  4. Step 4: Simplify right side
    635,410.17x = 302,539,088,630.03
  5. Step 5: Solve for x
    x = 302,539,088,630.03/635,410.17
  6. Step 6: Final answer
    x = 476,131.96

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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.