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Finding the Fourth Proportional to 635,768, 876,852.42 and 418,200.12

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Solution

The fourth proportional to 635,768, 876,852.42 and 418,200.12 is: 576,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,768 : 876,852.42 = 418,200.12 : x
  2. Step 2: Convert to fraction form
    635,768/876,852.42 = 418,200.12/x
  3. Step 3: Cross multiply
    635,768x = 876,852.42 × 418,200.12
  4. Step 4: Simplify right side
    635,768x = 366,699,787,266.29
  5. Step 5: Solve for x
    x = 366,699,787,266.29/635,768
  6. Step 6: Final answer
    x = 576,782.39

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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.