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Finding the Fourth Proportional to 635,488.87, 876,971.10 and 345,097.64

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Solution

The fourth proportional to 635,488.87, 876,971.10 and 345,097.64 is: 476,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,488.87 : 876,971.10 = 345,097.64 : x
  2. Step 2: Convert to fraction form
    635,488.87/876,971.10 = 345,097.64/x
  3. Step 3: Cross multiply
    635,488.87x = 876,971.10 × 345,097.64
  4. Step 4: Simplify right side
    635,488.87x = 302,640,658,988.87
  5. Step 5: Solve for x
    x = 302,640,658,988.87/635,488.87
  6. Step 6: Final answer
    x = 476,232.82

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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.